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Prof. Asghar Qadir
Professor
Department of Physics

SNS
National University of Sciences and Technology (NUST)
NUST-School of Natural Sciences,Sector H-12, Islamabad, Pakistan
Tel : +92 51 9085 5576

Specialization
Astrophysics, Cosmology and Relativity

Education
PhD, Physics (London, UK)

Education:

B.Sc. (Hons.) London University June 1967 Physics
A.R.C.S. Imperial College June 1967 Physics
D.I.C.  Imperial College June 1967 Theoretical Physics
Ph.D.  London University Feb. 1971 Relativity

Positions:

1. Vacation worker (Rutherford High Energy Laboratory, Didcot, Oxfordshire U.K); July –Sep. 1966 and July-Sep.1967.

2. Department of Mathematics, Quaid-i-Azam University (QAU) Islamabad:
(a) Research Associate Sept.1971 - Dec.1972;
(b) Asst. Prof. 1973 - Dec.1982;
(c) Assoc.Prof.1982-Oct.1987;
(d) Prof. Oct. 1987-June 2000;
(e) Meritorious Professor June 2000 to February 2004.

3. Chairman (Department of Mathematics) QAU; Sept. 1983-Aug. 1986; Sep.1988-Aug. 1994; Oct.1997-Feb.1999.

4. Dean (Faculty of Natural Sciences) QAU; March 1999 to Aug. 2000.
5. Professor (on leave from QAU) at Faculty of Mathematics and Applied Physics, Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi, Swabi, NWFP, Pakistan from 17 Oct. 1993 to 28 Feb. 1994.
6. Professor (on leave from QAU) at the Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia from Nov. 1994 to June 1997 and Sept. 2000 to Jun. 2002, and Adjunct Professor at the Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia since Sept. 2002.
8. Distinguished National Professor of the Higher Education Commission of Pakistan from February 2004.

9. Director, School of Natural Sciences (SNS) formerly known as center for advance mathematics and physics (CAMP) of the National University of Sciences and Technology (NUST), 20 May 2004 ---. 

Awards & Honours:

(a) First Prize in General Knowledge Contest for High School students in 1961;
(b) Fulbright Hayes award for 1978-79 and Senior Fulbright Fellowship for 1986-87, working with Prof. John A. Wheeler at the University of Texas at Austin, Texas, U.S.A.;
(c) Prize for book Relativity: An Introduction to the Special Theory, (World Scientific 1989) from National Book Council of Pakistan, 1991;
(d) Al Kharizmi First Prize for Mathematics for 1995;
(e) Pakistan Academy of Sciences Gold Medal for 1996; 
(f) Sitara-i-Imtiaz of Pakistan for 1999;
(g) ISESCO Award for Mathematics 2003;
(h) Appointed Distinguished National Professor of the Higher Education Commission from February 2004.
(i) One-day Conference held for my 60th birthday at the Department of Mathematics, Punjab University, Lahore, Pakistan, October 2006.
(j) Third Joint International Workshop on Relativistic Astrophysics, dedicated to me for my 65th birthday in the Physics Department of Salento University of Lecce, Lecce, Italy, 22 - 24 June 2011.
(k) One-day Conference on Gravitation dedicated to me for my 65th birthday at the Department of Mathematics, Punjab University, Lahore, Pakistan, 17 December 2011;
(l) Appointed Visiting Professor at the University of Witwatersrand, Johannesburg, South Africa, 1st March 2013 to 28th February 2015.

Affiliations:

(a) Founded the “Rocketry Society” of Government College Lahore in 1963;
(b) Research Associate and Senior Research Fellow at the Pakistan Institute of Development Economics (PIDE), 1980-88 and 1988-94;
(c) Joint Secretary of Al-Kindi Society for the Advancement of the Philosophy of Science, Islamabad, Pakistan, 1980- ;
(d) Associate Member and Senior Associate of the International Centre for Theoretical Physics, Trieste, Italy, 1980 – 91 and 1992 to 1999;
(e) Life member and Vice-President of the Albert Einstein Society (of Pakistan), 1985 on and 1987 on;
(f) Life Member, Joint Secretary and Secretary to the Pakistan Physical Society, 1990, 1992 and 1993;
(g) Life Member and President of the Fulbright Alumni Association, 1992 and 1993;
(h) Fellow of Pakistan Academy of Sciences, 1992 on.

(i) Associate Director and Director of the Centre of Basic Sciences (COBS) of the University Grants Commission, 1980-88 and 1988-94.
(j) Referee and member of editorial board of several national and international journals;
(k) Conducted several refresher  courses for College teachers, in service employees of PIDE and S&T scholarship holders;
(l) Participated in and chaired numerous committees for revision of curricula of Mathematics, Economics and Physics;
(m) Been member of 3 sub-committees for the formulation of 3 five year plans of Pakistan;
(n) Member of the International Advisory Board of the GIK Institute of Engineering Sciences & Technology;
(o) Conducted in-depth evaluation of the Basic Sciences departments of NUST and of the Department of Mathematics and Statistics of the King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia;
(p) Have organised and been member of the organising committee, of several national (about 20) and international (about 20) conferences.
(q) Developed the AS-ICTP “Bangladesh-India-Pakistan-Turkey-Uzbekistan Network (BIPTUN) for Astrophysics, Relativity and Cosmology (ARC)”.
(r) Member of the Boards of Governors of the Pakistan Council of Science and Technology for Sciences and the Pakistan Science Foundation.
(s) Convener of Task Group for the Development of Mathematics in Pakistan.
(t) Convener of the Committee for Human Resource Development of the Pakistan Council of Science and Technology, Higher Education Sector.
(u) Member of Board of Graduate Studies of COMSATS and PIEAS.
(v) Member of International Advisory Board for the Faculty of Arts and Sciences, Aga Khan University, Karachi.
(w) Part-time Member of Board of Trustees of the Pakistan Science Foundation.

Research Interests:

Mathematics: Relativity, Astrophysics, Cosmology, Differential Equations; Special Functions; Number Theory, Engineering Mathematics; Computational Mathematics.
Physics: High Energy Physics; Bounds on Entropy; Astroparticlephysics.
Economics: Mathematical Economics; Inflation; Foundations of Economics; General Equilibrium.

Research Students:

PhD students enrolled at present:

(NUST)
1. Adnan Aslam (Maths.);
2. Hina Muneer Dutt (Maths.);
3. Mohammad Usman (Physics);
(KFUPM)
4. Muhhammad Al-Lail (Maths.);
(One Physics student joining in the PhD in the coming semester).

Degree Completed:

(a) Supervised 2 MS theses (at KFUPM):

1. Positron and muon scattering from atoms in the impulse approximation (U. Al-Kaabi 1997).
2. Effect of mass on the radiation from a relativistically rotating dipole (A. S. Al-Mohammad 2002).

(b) Supervised 29 M.Phil. dissertations (at QAU):
1. The BMS group (M. F. Khan 1975);
2. Shells --- a restriction on rings (M. A. Naseer 1977);
3. Some developments in Penrose graphs (M. T. Shah 1980);
4. Pulsars and neutron stars (M. Rafique 1981);
5. Coupled Einstein equations (A. H. Bokhari 1982);
6. Critique of the Kaluza-Klein theories (A. Pervez 1986);
7. Galactic halos (S. Z. Farooqui 1986);
8. Bell’s inequality and the particle interpretation of the quantum formalism (M. Ziad 1986);
9. Quantum effects near black hole singularities (A A. Siddiqui 1990);
10. Non-gravitational fields in general relativity (A. Mughal 1990);
11. Young pulsars (M. Akbar 1990);
12. Inflationary cosmology (S. G. Mohammad 1991);
13. Symmetries of static hyperspherically symmetric five dimensional spacetimes (S. J. Mirza 1992);
14. Ricci collineations of Robertson-Walker spacetimes (K. Hussain 1992);
15. Motion of a charged particle in the field of a pulsar (K. Saifullah 1992);
16. Ricci collineations for spherically symmetric static spacetimes (M. J. Amir 1993);
17. Numerical solutions of heat conduction between two dissimilar bodies due to a source (E. Ahmed 1993) co-supervised by Khalid Rashid;
18. Spherical shock gravitational waves (Q. H. Aslam 1994);
19. Ricci collineations of spacetimes admitting the four dimensional orthogonal group (G. Shabbir 1994);
20. The connection between the Lie group of motions and Lie algebras of isometries (Q. Durrani 1998);
21. Numerical investigations of mixed elliptic and parabolic systems (S. Gul 1999) co-supervised by T. M. Shah;
22. An alternative explanation of density perturbation to inflation (M. Ahmed 1999);
23. Random approximation and random fixed point theorems for 1-set contractive random maps (S. Latif 1999) co-supervised by N. Shahzad;
24. Spin angular momentum imparted to test particles by gravitational waves (M. Shoaib 1999);
25. Asymptotic behaviour of the proper distance and volume with York time (A. t-Hussain 2000);
26. Algebraic computation of spinors for general relativity (A. Aziz 2000) co-supervised by A. H. Bokhari:
27. Critique of the Hoyle-Narlikar C-field theory (Q. J. Hanif 2000);
28. Homogeneous anisotropic cosmologies (E. Nasser 2000);
29. Weyl collineations of some spacetimes and their complete classification (I. Hussain 2004).

(c) Supervised 2 M.Phil. dissertations (at CAMP):

1. The effect of phantom energy on the initial mass of primordial black holes evaporating today (S. Naz 2012);
2. Complex symmetry analysis for coupled harmonic oscillators (S. Dayo 2013).

(d) Supervised 16 Ph.D. theses (10 at QAU and 6 at CAMP):

1. Relativistic gravitodynamics and forces (J. Quamar 1984);
2. Some implications of the N-formalism (M. Rafique 1985);
3. Conformal extension of the N-formalism (A. H. Bokhari 1986);
4. Spherically symmetric spacetimes (M. Ziad 1990);
5. Forces in non-static spacetimes (M. Sharif 1991);
6. A twistorial description of the null dynamics of Maxwell-Dirac fields (J. G. Cardoso 1992);
7. Quantization on spacelike hypersurfaces in curved spacetimes (A. Pervez 1993);
8. Some foliations of black hole spacetimes (A. A. Siddiqui 2000);
9. Curvature collineations of some spacetimes and their interpretation (A.R. Kashif 2003) co-supervised with A.H. Bokhari;
10. The connection between isometries and geodesic equations (T. Feroze 2005);
11. Complex symmetry analysis (S. Ali 2009);
12. Approximate symmetries and the energy content of gravitational waves (I. Hussain 2010);
13. Black holes in accelerating universes (M. Jamil 2010);
14. Applications of geometrothermodynamics in non-standard theories of gravity (S. Taj 2011). 
15. Some representations of the extended Fermi-Dirac and Bose-Einstein functions with applications, (A. Tassaddiq 2012).
16. Solvability of systems of differential equations by complex symmetry analysis, (M. Safdar 2013).

Scientific Work:
 
a. Mathematics and Physics Research Publications
 
Foreign:
​S/No ​Reference
​1. “Integration of functions satisfying a second order differential equation”, A. Qadir and M. A. Rashid, ZAMM 52 (1973) 802 - 805.
​2. ​“Dimensional regularization and the infra-red divergence” K. Ahmed and A. Qadir, Lett. al. Nuovo Cimento 10 (1973) 63 - 66.
​3. ​“Moving daughter Regge trajectories in the Van Hove model with SL(2,C) SL(2,C) symmetry”, K. Ahmed, Arifuzzaman and A. Qadir, Phys. Rev. D11 (1975) 2647 - 2657.
​4. ​“An interesting representation of Lie algebras of linear groups”, A. Qadir, Int. J. Theoret. Phys. 14 (1976) 74 - 101.
​5. ​“Equivalence of the theories of reciprocity and general relativity”, A. Qadir, Int. J. Theoret. Phys. 15 (1976) 25 - 30.
​6. ​“Physical equivalence of theories”, A. Qadir, Int. J. Theoret. Phys. 15 (1976) 635 - 641.
​7. ​“Penrose graphs”, A. Qadir, Physics Reports C39 (1978) 133 - 170.
​8. ​“Hawking radiation and strong gravity black holes”, A. Qadir and W. A. Sayed, Physics Letters B84 (1979) 189 - 192.
​9. ​“Field equations in twistors”, A. Qadir, J. Math. Phys. 21 (1980) 514 - 520.
​10. ​“Pseudo-periodic difference equations”, H. N. Malik and A. Qadir, Fibonacci Quarterly, 18th Anniversary Volume (1980) 176 - 179.
​11. ​“Break up of integers in terms of bracket-functions”, H. N. Malik and A. Qadir, Fibonacci Quarterly, 18th Anniversary Volume (1980) 172 - 175.
​12. ​“Solution of pseudo-periodic difference equations”, H. N. Malik and A. Qadir, Fibonacci Quarterly, 18th Anniversary Volume (1980) 179 - 186.
​13. ​“On the rotational energy loss of pulsars”, A. Qadir, R. Ruffini and L. Violini, Lett. al. Nuovo Cimento 27 (1980) 381 - 384.
​14. ​“Gravitational waves from the Big Bang”, A. A. Mufti and A. Qadir, Lett. al. Nuovo Cimento 29 (1980) 528 - 532.
​15. ​“Reintroducing the concept of force into relativity theory”, S. M. Mahajan A. Qadir and P. M. Valanju, Nuovo Cimento B65 (1981) 404 - 417.
​16. ​“Energy loss and age estimation of pulsars”, A. Qadir and M. Rafique, KEXUE TONGBAO (now Chinese Physics Letters) 28 (1983) 1639 - 1642.
​17. ​“Modification of quantum mechanics at short distances”, S. M. Mahajan, A. Qadir and P. M. Valanju, Nuovo Cimento B71 (1982) 265 - 281.
​18. ​“The question of an upper bound on entropy”, A. Qadir, Physics Letters A95 (1983) 285 - 287.
​19. ​“Reissner-Nordstrom repulsion”, A. Qadir, Physics Letters A99 (1983) 419-420.
​20. ​“Upper bound on entropy”, I. Khan and A. Qadir, Lett. al. Nuovo Cimento 41 (1984) 493.
​21. ​“A prescription for n-dimensional vierbeins”, A. H. Bokhari and A. Qadir, ZAMP 36 (1985) 184 - 188.
​22. ​“Carter's fourth invariant of the motion”, A. Qadir, J. Quamar and M. Rafique, Physics Letters A109 (1985) 90 - 92.
​23. ​“On a property of conformal space-times”, A. H. Bokhari and A. Qadir, ZAMP 36(1985) 764 - 766.
​24. ​ “A comment on coupled zero-mass and electromagnetic fields”, A. H. Bokhari and A. Qadir, the Journal of Mathematics of the University of Valladolid, Spain, 9 (1985) 137 - 141.
​25. ​“Pulsar supernova remnant correlation”, A. Qadir and M. Rafique, Chinese Physics Letters 3 (1986) 189 - 191.
​26. ​“A note on quantization in rotating co-ordinates”, F. Hussain and A. Qadir, ZAMP 37 (1986) 387 - 394.
​27. ​“Pseudo-Newtonian potentials”, A. Qadir and J. Quamar, Europhysics Letters, 2 (1986) 422 - 425.
​28. ​“The structure of the pseudo-Newtonian force about a rotating, charged mass”, A. Qadir, Europhysics Letters, 2 (1986) 427 - 430.
​29. ​“Pulsar drift and rotational collapse”, A. Qadir, M. Rafique and A. W. Siddiqui, Chinese Physics Letters 4 (1987) 177 - 180.
​30. ​“Some comments on the original theory of Kaluza and Klein”, A. Pervez and A. Qadir, App. Math. & Mech. 8 (1987) 825 - 827.
​31. ​“A mechanism for pulsar drift”, A. Qadir, Chinese Phys. Lett. 4 (1987) 289-292. ​
​32. ​“The arrow of time and the expansion of the universe”, A. Qadir, Physics Letters A121 (1987) 113 - 115.
​33. ​“Symmetries of static, spherically symmetric, space-times”, A. H. Bokhari and A. Qadir, J. Math. Phys. 28 (1987) 1019- 1022; “Erratum”, 29 (1988) 525.
​34. ​“Static spherically symmetric spacetimes with six Killing vectors”, A. Qadir and M. Ziad, J. Math. Phys. 29 (1988) 2473 - 2474; “Addendum”, 31 (1990) 254.
​35. ​“Late stages of crunch”, A. Qadir and J. A. Wheeler, Nucl. Phys. B, Proc. Suppl., Eds. Y. S. Kim and W. W. Zachary, 6 (1989) 345 - 348.
​36. ​“Internal consistency of Kaluza-Klein theories”, A. Kheyfets, L. K. Norris and A. Qadir, Nuovo Cimento A101 (1989) 367 -383.
​37. ​“On the inclination of planetary orbits”, Z. U. Mian, A. Qadir, J. Quamar and H. A. Rizvi, Commun. Theoret. Phys. 11 (1989) 115 - 120.
​38. ​“On quantum effects near a black hole singularity”, A. Qadir and A. A. Siddiqui, Class. & Quant. Grav. 7 (1990) 511 - 513.
​39. ​“Killing vectors of static, spherically symmetric spacetimes”, A. H. Bokhari and A. Qadir, J. Math. Phys. 31 (1990) 1463.
​40. ​“Diffraction of a cylindrical transient acoustic wave by an absorbent half-plane in a moving fluid”, S. Asghar, M. Ayub, B. Ahmed and A. Qadir, J. Acoust. Soc. Am. 89 (1991) 2080 - 2083.
​41. ​“Acoustic scattering due to a Gaussian pulse”, S. Asghar, A. M. Lone and A. Qadir, Acoustics Letters 15 (1991) 13 - 18.
​42. ​“Can young pulsars clarify the odd behaviour of pulsars”, M. Akbar and A. Qadir, Nuovo Cimento B106 (1991) 1011 - 1016.
​43. ​“Testing between pulsar models using SN1987A”, M. Akbar and A. Qadir, Mahavisva 4 (1991) 31 - 33. 
​44. ​“A quantum statistical upper bound on entropy”, E. Joos and A. Qadir, Nuovo Cimento B107 (1992) 563 - 572.
​45. ​“Essential singularities of spherically symmetric spacetimes”, A. Qadir, J. Math. Phys. 33 (1992) 2262 - 2264.
​46. ​“The relativistic generalization of the gravitational force for arbitrary spacetimes”, A. Qadir and M. Sharif, Nuovo Cimento B107 (1992) 1071 - 1083.
​47. ​“General formula for the momentum imparted to test particles in arbitrary spacetimes”, A. Qadir and M. Sharif, Physics Letters, A167 (1992) 331 - 334.
​48. ​“Collineations of the Ricci tensor”, A. H. Bokhari and A. Qadir, J. Math. Phys. 34 (1993) 3543 - 3552.
​49. ​“Classification of hyperspherically symmetric static five dimensional spacetimes”, A. H. Bokhari, S. J. Mirza and A. Qadir, Journal of the Egyptian Mathematical Society. 1 (1993) 75 - 79.
​50. ​“Radiation from fast rotating neutron stars”, F. De Paolis and A. Qadir, Class. & Quant. Grav. 11 (1994) A171 - A181. Also in Experimental Gravitation, Eds. M. Karim and A. Qadir (Institute of Physics Press 1994) A171 - 181.
​51. ​“Ricci collineations of static spherically symmetric spacetimes”, J. Amir, A. H. Bokhari and A. Qadir, J. Math. Phys. 35 (1994) 3005 - 3112, Erratum, J. Math. Phys. (1996).
​52. ​“Classification of cylindrically symmetric static spacetimes”, A. Qadir and M. Ziad, Nuovo Cimento B110 (1995) 277 - 290.
​53. ​“The classification of spherically symmetric spacetimes”, A. Qadir and M. Ziad, Nuovo Cimento B110 (1995) 317 - 334.
​54. ​ “Foliation by constant mean-curvature hypersurfaces of the Schwarzschild spacetime”, A. Pervez, A. Qadir and A. A. Siddiqui, Phys. Rev. D51(1995) 4598.
​55. ​“Observing molecular hydrogen clouds and dark massive objects in galactic haloes”, F. De Paolis, A. Qadir, G. Ingrosso, P. Jetzer and M. Roncadelli, Astronomy and Astrophysics, 299 (1995) 647 - 649.
​56. ​“The classification of static plane symmetric spacetimes according to their Ricci collineations”, T. b. Farid, A. Qadir and M. Ziad, J. Math. Phys. 36 (1995) 5812 -5828.
​57. ​“Collapsed white dwarfs as -ray burst sources”, F. De Paolis, G. Ingrosso and A. Qadir, Astrophysics and Space Science 231 (1995) 415 - 418.
​58. ​“The multipole expansion of the radiation field from a relativistically rotating oblique magnetic dipole”, F. De Paolis, G. Ingrosso and A. Qadir, Astrophysics and Space Science 234 (1995) 57 - 59.
​59. ​“The pseudo-Newtonian force in time varying spacetimes” A. Qadir and I. Zafarullah, Nuovo Cimento B111 (1996) 79 - 84.
​60. ​“Numerical solution of integral equations and convolution integrals using orthogonal polynomials”, M. A. Bokhari, M. A. Chaudhry and A. Qadir, Journal of Approximation Theory and its Applications 13 (1997) 11 - 19.
​61. ​“Extension of Euler's beta function”, M. A Chaudhry, A. Qadir, M. Rafique and S.M. Zubair, J. Comp. & Appl. Math. 78 (1997) 19 - 32.
​62. ​“General relativistic forces in non-static spacetimes” A. Qadir, Nuovo Cimento B112 (1997) 485 - 490.
​63. ​“Classification of spherically symmetric static spacetimes by their curvature collineations”, A.H. Bokhari, A. Qadir, M. S. Ahmed and M. Asghar, J. Math. Phys. 38 (1997) 3639 - 3649.
​64. ​“Ricci collineations of spherically symmetric spacetimes” A. Qadir and M. Ziad Nuovo Cimento B113 (1998) 773 - 784.
​65. ​“A positive energy density spacetime related to the Reboucas-Tiomno and Einstein Universes”, A. Qadir and M. Ziad, J. Egypt. Math. Soc. 6 (1998) 185 -190.
​66. ​“A proposal for establishing a gravitational wave detector interferometer in Pakistan” S. Z. Farooqui, M. Karim, N. Kawashima, A. Qadir and H. Rehman, Astrophysics and Space Science 258 (1998) 221 - 235.
​67. ​“K-slicing the Schwarzschild and Reissner Nordstrom spacetimes”, A. Qadir and A. A. Siddiqui, J. Math. Phys. 40 (1999) 5883 - 5889.
​68. ​​“The classification of hyperbolically symmetric spacetimes”, A. Qadir, S. Saleem and M. Ziad, Nuovo Cimento B114 (1999) 501 - 508.
​69. ​“The gravitational effect on induced charge density for an obliquely rotating neutron star”, F. De Paolis, A. Qadir and H. I. Tarman, Nuovo Cimento B114 (1999) 1281 - 1286.
​70. ​“Classification of curvature collineations of plane symmetric static spacetimes”, A. H. Bokhari, A. R. Kashif and A. Qadir, J. Math. Phys. 41 (2000) 2167 - 2172.
​71. ​“Homotheties of cylindrically symmetric spacetimes”, A. Qadir, M. Sharif and M. Ziad, Class. & Quant. Grav. 17 (2000) 345 - 349.
​72. ​“Curvature versus Ricci and metric symmetries in spherically symmetric static spacetimes”, A. H. Bokhari, A. R. Kashif, A. Qadir and A. G. Sheikh, Nuovo Cimento B115 (2000) 383 - 384.
​73. ​​“The momentum four-vector in the eN-formalism and the angular momentum imparted to test particles by gravitational waves”, A. Qadir, M. Sharif and M. Shoaib, Nuovo Cimento B115 (2000) 419 - 425.
​74. ​“The length and volume of the Qadir-Wheeler ‘suture model’”, A. t-Hussain and A. Qadir, Phys. Rev. D63 (2001) 083502-1 to 5.
​75. ​“The classification of plane symmetric spacetimes by isometries”, T. Feroze, A. Qadir and M. Ziad, J. Math. Phys. 42 (2001) 4947 – 4955. 
​76. ​​“Algebraic computation of two component spinors in general relativity”, K. Asghar, A. Aziz, A. H. Bokhari and A. Qadir, Nuovo Cimento B116 (2001) 483 - 491.
​77. ​“Stability of the cosmological solutions of the Hoyle-Narlikar C-field theory”, Q. J. Hanif and A. Qadir, Nuovo Cimento B116 (2001) 853 - 858.
78. ​“Extended Reimann zeta functions”, M. A. Chaudhry, M. T. Boudjelkha, A. Qadir, M. Rafique and M. Zubair, Rocky Mountain Journal of Mathematics 31 (2001) 1237 - 1263.
​79. ​“A note on flat foliations of spherically symmetric spacetimes”, V. Hussain, A. Qadir and A. A. Siddiqui, Phys. Rev. D65 (2002) 027501, 1-2.
​80. ​​“Generalized error functions with applications to probability and heat conduction”, M. A. Chaudhry, A. Qadir and S. M. Zubair, International Journal of Applied Mathematical Sciences 9 (2002) 259 - 278.
81.​ ​“A note on gravitational wave lensing”, by F. De Paolis, G. Ingrosso, A. A. Nucita, and A. Qadir, Astron. & Astrophys. 294 (2002)749 - 752.
​82. ​“Use of Carter’s coordinates for the extreme Reissner-Nordstrom spacetime to construct free-fall geodesics and a flat foliation”, A. Qadir and A. A. Siddiqui, Nuovo Cimento B117 (2002) 909 - 916.
​83. ​“A complete classification of curvature collineations of cylindrically symmetric static metrics”, by A. H. Bokhari, A. R. Kashif and A. Qadir, Gen. Rel. & Grav. 35(2003) 1059 - 1076. 
​84. ​“Classification of cylindrically symmetric static spacetimes according to their Ricci collineations”, A. Qadir, K. Saifullah and M. Ziad, Gen. Rel. & Grav. 35(2003) 1927 - 1975. 
​85. ​“Charged spheres in general relativity revisited”, F. M. Mahomed, A. Qadir and C. Wafo Soh, Nuovo Cimento B118 (2003) 373 - 381.
​86. ​“A note on electromagnetic fields of a slowly rotating magnetized neutron star”, F. De Paolis, G. Ingrosso, A. A. Nucita, and A. Qadir,  Nuovo Cimento B118 (2003) 499 - 503. 
​87. ​“Non-static, spherically symmetric, shear-free, perfect fluid solutions of Einstein’s field equations”, by T. Feroze, F. M. Mahomed and A. Qadir, Nuovo Cimento B118 (2003) 895 - 902.
​88. ​“Kerr black holes as retro-MACHOs” F. De Paolis, A. Geralico, G. Ingrosso, A. A. Nucita, and A. Qadir, Astron. & Astrophys. 415 (2004) 1 - 4.
​89. ​“New inequalities involving the zeta function” P. Cerone, M.A. Chaudhry, G. Korvin and A. Qadir, J. Inequalities in Pure and Appl. Math. 5 (2004) #43 1-17.
​90. ​“Comments on matter collineations of plane symmetric, cylindrically symmetric and spherically symmetric spacetimes”, A. Qadir and K. Saifullah, J. Math. Phys. 45 (2004) 4191 - 4192.
​91. ​“Fourier transform and distributional representations of the gamma function leading to some new identities”, M. A. Chaudhry and A. Qadir, Int. J. Math. and Math. Sci. 37 (2004) 2091 - 2096.
​92. ​“Extended hypergeometric and confluent hypergeometric functions”, M. A. Chaudhry, R. Paris, A. Qadir and H.M. Srivastava, J. App. Math. & Comp. 159 (2004) 589 - 602.
​93. ​“On Ricci inheritance symmetries in general relativity”, A.H. Bokhari, M. Karim, D. Kuebel and A. Qadir, Nuovo Cimento B119 (2004) 1187 - 1195.
​94. ​“Incomplete exponential and hypergeometric functions with applications to non-central χ2-distribution”, M. A. Chaudhry and A. Qadir, Communications in Statistics, Theory and Methods #3, 34 (2005) 525 - 535.
​95. ​“The effect of mass on the radiation from relativistically rotating neutron stars”, T. Al-Aithan, F. De Paolis, A. S. Al-Mahomed and A. Qadir, Nuovo Cimento B120 (2005) 25 - 35.
​96. “Weyl collineations that are not curvature collineations”, I. Hussain, A. Qadir and K. Saifullah, Int. J. Mod. Phys. 14 (2005) 1431 - 1438.​
​97. ​“Flows of an Oldroyd 6 constant fluid”, T. Hayat, F.M. Mahomed and A. Qadir, Far East J. Appl. Math. 21 (2005) 1 - 15.
​98. ​“The connection between isometries and geodesic equations”, T. Feroze, F.M. Mahomed and A. Qadir, Nonlinear Dynamics 45 (2006) 65-74.
​99. ​“Foliation of the Schwarzschild and Reissner-Nordstrom spacetimes by flat spacelike hypersurfaces”, A. Qadir and A. A. Siddiqui, Int. J. Mod. Phys. D15 (2006) 1419 - 1440.
​100. ​“On some bounds for the Mellin transform and applications to the Riemann zeta and Macdonald functions”, P. Cerone, M. A. Chaudhry and A. Qadir, Integral Transforms & Special Functions 17 (2006) 769 - 777.
​101. ​“Focusing surfaces”, H. Azad, A. Laradji and A. Qadir, Mathematical Gazette 90 (2006) 404 - 411.
​102. ​“Gravitational wave scintillation by a stellar cluster”, G. Congedo, F. De Paolis, P. Longo, A. Nucita, D. Vetrugno and A. Qadir, Int. J. Mod. Phys. D 15 (2006) 1937 - 1945.
​103. ​​“Similarities between classical timelike geodesics in a naked Reissner-Nordstrom singularity background and the behaviour of electrons in quantum theory”, A. Qadir and A. A. Siddiqui, Int. J. Mod. Phys. D 15 (2007) 25 - 34.
​104. ​“Linearization criteria for a system of second order quadratically semi-linear ordinary differential equations”, F.M. Mahomed and A. Qadir, Nonlinear Dynamics 48 (2007) 417 - 422.
​105. ​“K-slicing of the Reissner-Nordstrom spacetime: some new observations”, A. Qadir, M. Sajid and A. A. Siddiqui, Nuovo Cimento B 122 (2007) 333 – 341.
​106. ​“SgrA* black hole: laboratory to measure the black hole and cluster parameters”, F. De Paolis, G. Ingrosso, A.A. Nucita, A. Qadir and A. Zakharov, Publications of the Astronomical Society of the Pacific 119 (2007) 349 - 359.
​107. ​“The generalization of special functions”, A. Qadir, Appl. Math. and Comput. 187 (2007) 395 - 402.
​108. ​“Geometric linearization of ordinary differential equations”, A. Qadir, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 3 (2007) 103 - 109.
​109. ​“Second-order approximate symmetries of the geodesic equations for the Reissner-Nordstrom metric and re-scaling of energy of a test particle”, I. Hussain, F.M. Mahomed and A. Qadir, SIGMA 3 (2007) 115 – 123.
​110. ​“Operator representations of Fermi-Dirac and Bose-Einstein integral functions with applications”, M.A. Chaudhry and A. Qadir, Int. J. Maths. & Math. Sci. (2007), ID 80515, 9 pages.
​111. ​​“Identity type functions and polynomials”, M.A. Chaudhry and A. Qadir, Int. J. Maths. & Math. Sci. (2007) ID 94204, 10 pages.
​112. ​​“Ultra-fast rotating pulsars re-visited”, A. Qadir, Nuovo Cimento B 122 (2007) 465 - 470.
​113. ​“Relativistic effects at the galactic centre”, A.A. Nucita, A.F. Zakharov, A. Qadir, F. De Paolis and G. Ingrosso, Nuovo Cimento B 122 (2007) 537 – 546.
​114. ​“Conversion of an extreme Reissner-Nordstrom black hole to a naked singularity”, F. De Paolis and A. Qadir, Nuovo Cimento B 122 (2007) 569 - 572.
​115. ​“Approximate symmetries and the energy content of gravitational fields”, I. Hussain and A. Qadir, Nuovo Cimento B 122 (2007) 593 - 597.
​116. ​“Comments on ‘Charged particle dynamics in the field of a slowly rotating compact star’ ”, M. Jamil and A. Qadir, Nuovo Cimento B 122 (2007) 599 - 602.
​117. ​“Fresnel’s diffraction and scintillation of gravitational waves”, D. Vetrugno, G. Congedo, F. De Paolis, P. Longo, A.A. Nucita and A. Qadir, B 122 (2007) 611 – 616.
​118. “Centrifugal force induced collapse of strange stars into black holes”, F. De Paolis, G. Ingrosso, A. A. Nucita, and A. Qadir, Int. J. Mod. Phys. D 16 (2007) 827 - 831. ​
​119. ​“Approximate symmetries and stability of conservation laws of the geodesic equations for the Schwarzschild metric”, A.H. Kara, F.M. Mahomed and A. Qadir, Nonlinear Dynamics 51 (2008) 183 - 190.
​120. ​“Constructing a space from the system of geodesic equations”, E. Fredericks, F.M. Mahomed, E. Momoniat and A. Qadir, Comp. Phys. Commun. 179 (2008) 438 – 442.
​121. ​“Conditional linearizability criteria for third order ordinary differential equations”, F.M. Mahomed and A. Qadir, J. Nonlinear Mathematical Physics 15 (2008) 25 – 35.
​122. ​“Complex Lie symmetries for variational problems”, S. Ali, F. M. Mahomed and A. Qadir, J. Nonlinear Mathematical Physics 15 (2008) 124 – 133.
​123. ​“Uniqueness of the McVittie solution as plane symmetric sourceless electromagnetic field spacetimes”, T. Feroze, A. Qadir and M. Ziad, Mod. Phys. Lett. A 23 (2008) 825 - 828.
​124. ​“Conformal Ricci collineations of spherically symmetric spacetimes”, U. Camci, A. Qadir and K. Saifullah, Commun. in Theoret. Phys. 49 (2008) 1527 - 1532.
​125. ​“Studies of strong gravitational fields near super-massive black holes with space missions”, A.F. Zakharov, F.De Paolis, G. Ingrosso, A. Nucita and A. Qadir, Advances in Space Research 41 (2008) 2061 – 2063.
​126. ​​“Charged black holes in phantom cosmology”, M. Jamil, A. Qadir and M.A. Rashid, Eur. J. Phys. 58 (2008) 325 - 329.
​127. ​“Gauss-Bonnet and Lovelock gravities and generalized second law of thermodynamics”, M. Akbar and A. Qadir, Chinese Physics Letters 26 (2009) 260402, 1-4.
​128. ​“Complex Lie symmetries for differential equations”, S. Ali, F. M. Mahomed and A. Qadir, J. Nonlinear Analysis B: Real World Applications 10 (2009) 3335 - 3344.
​129. ​“Asymptotic behaviour of the proper length and volume of the Schwarzschild singularity”, A. Qadir and A. A. Siddiqui, Int. J. Mod. Phys. D 18 (2009) 397 – 404.
​130. ​“Approximate Noether symmetries of the geodesic equations for the charged-Kerr spacetime and rescaling of energy”, I. Hussain, F.M. Mahomed and A. Qadir, Gen. Rel. & Gravit. 41 (2009) 2399 - 2414.
​131. ​“Proposal for determining the energy content of gravitational waves by using approximate symmetries of differential equations”, I. Hussain, F.M. Mahomed and A. Qadir, Phys. Rev. D 79 (2009) 125014 (14 pages).
​132. ​“Invariant linearization criteria for systems of cubically semi-linear second order ordinary differential equations”, F. M. Mahomed and A. Qadir, J. Nonlinear Mathematical Physics 16 (2009) 283 - 298.
​133. ​“Conditional linearizability criteria for a system of third-order ordinary differential equations”, F. M. Mahomed, I. Naeem and A. Qadir, Nonlinear Analysis; Real World Applications B 10 (2009) 3404 - 3412.
​134. ​“Another representation of the Lie algebra of second order vector differential equations”, by T. Feroze and A. Qadir, Differential Equations and Nonlinear Mechanics 2009 (2009) 152698, 3 pages, doi:10.1155/2009/152698.
​135. ​​“Conditional linearizability of fourth-order semi-linear ordinary differential equations”, F.M. Mahomed and A. Qadir, J. Nonlin. Math. Phys. 16 (2009) 165 -178.
​136. ​​“On the definition of matter collineations”, A. Qadir and K. Saifullah, Int. J. Mod. Phys. Lett. 24 (2009) 2769 - 2775.
​137. ​“Approximate partial Noether operators of the Schwarzschild spacetime”, I. Hussain, F.M. Mahomed and A. Qadir, J. Nonlin. Math. Phys. 17 (2010) 13–25.
​138. ​“On Gauss-type quadrature rules”, M.A. Bokhari, A. Qadir and H. Al-Attas, Numerical Functional Analysis and Optimization 10 (2010) 1120 - 1134.
​139. ​“Black holes in bulk viscous cosmology”, F. De Paolis, M. Jamil and A. Qadir, Int. J. Theor. Phys. 49 (2010) 621 – 632.
​140. ​“Invariants of two-dimensional systems via complex Lagrangians with applications”, U. Farooq, S. Ali and A. Qadir, Commun. Nonlinear Science and Numerical Simulations 16 (2010)1804 - 1810.
​141. ​“Some extensions of the Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions” by H.M. Srivastava, M.A. Chaudhry, A. Qadir and A. Tassaddiq, Russian J. Math. Phys. 18 (2011) 107 - 121.
​142. ​“Estimating the parameters of the Sgr A* black hole”, F. De Paolis, G. Ingrosso, A. A. Nucita, A. Qadir and A. F. Zakharov, Gen. Rel. & Gravit. 43 (2011) 977 – 988.
​143. ​“Primordial black holes in phantom cosmology”, M. Jamil and A. Qadir, Gen. Rel. & Gravit. April 43 (2011) 1069 - 1082.
​144. ​​“Fourier transform and distributional representation of the generalized gamma function with some applications”, A. Tassaddiq and A. Qadir, Applied Mathematics and Computation 218 (2011) 1084 – 1088.
​145. ​“Inequivalence of classes of linearizable systems of cubically semi-linear ordinary differential equations obtained by real and complex symmetry analysis”, S. Ali, A. Qadir and M. Safdar, Mathematical and Computational Applications 16 (2011) 923 – 934.
​146. ​​“Classification of ordinary differential equations by conditional linearizability and symmetry”, F.M. Mahomed and A. Qadir, Communications in Nonlinear Science and Numerical Simulation 17 (2011) 573 - 584.
​147. ​​“Possible detection of the M31 rotation in WMAP data”, F. De Paolis, V. G. Gurzadyan, G. Ingrosso, Ph. Jetzer, A. A. Nucita, A. Qadir, D. Vetrugno, A. L. Kashin, H. G. Khachatryan, and S. Mirzoyan, Astron. & Astrophys. 534 (2011) L8, 1 – 5.
​148. ​“Fourier transform representation of the extended Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions”, A. Tassaddiq and A. Qadir, Integral Transforms and Special Functions (2011) DOI 10.1080/10652469.2011.561002.
​149. ​“A new generalization of the Riemann zeta function and its difference equation”, M.A. Chaudhry, A. Qadir and A. Tassaddiq, Advances in Differential Equations 20 (2011) 13 pages. ​
​150. ​“Linearizability of systems of ordinary differential equations obtained by complex symmetry analysis”, by M. Safdar, A. Qadir and S. Ali, Mathematical Problems in Engineering 10.1155 (2011) 171834, 17 pages. ​
​151. ​​“Laplace-Type Semi-Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods”, by F. Mahomed, A. Qadir and A. Ramnarian, Mathematical Problems in Engineering (2011, 202973, 15 pages).
​152. ​“Linearizability criteria for systems of two second-order differential equations by complex methods”, S. Ali, F. M. Mahomed and A. Qadir, Nonlinear Dynamics 66 (2011) 77 - 88.
​153. ​“Extension of Hardy’s class for Ramanujan’s interpolation formula and master theorem with applications”, M.A. Chaudhry and A. Qadir, J. Ineqs. and Appl. 52 (2012) pages 1 to 13.
​154. ​“A note on the extended complete and incomplete beta functions”, K. Al-Baiyat, M.A. Chaudhry, B. Al-Humaidi and A. Qadir, International Journal of Applied Mathematics 25 (2012) 51 - 58.
​155. ​“CMB as a possible new tool to study the dark baryons in galaxies”, F. De Paolis, G. Ingrosso, A.A. Nucita, D. Vetrugno, V.G. Gurzadyan, A.L. Kashin, H.G. Khachatryan, S. Mirzoyan, Ph. Jetzer and A. Qadir, J. Phys. Conf. Series 354 (2012) 012004, 8 pages.
​156. ​“Effect of accretion of phantom energy on initial mass of a primordial black hole”, S. Naz and A. Qadir, J. Phys. Conf. Series 354 (2012) 012012, 7 pages.
​157. ​“Self-interaction of gravitational waves and their observability”, A. Qadir, J. Phys. Conf. Series 354 (2012) 012014, 8 pages.
​158. ​“Noether symmetries of the area minimizing Lagrangian”, A. Aslam and A. Qadir, Journal of Applied Mathematics (2012) ID 532690, 14 pages.
​159. ​“Linearization: Geometric, conditional and complex”, A. Qadir, Journal of Applied Mathematics (2012) ID 303960, 30 pages doi:10.1155/2012/303960.
​160. ​“Generating vorticity and magnetic fields in plasmas in general relativity: spacetime curvature drive”, F.A. Asenjo, S.M. Mahajan and A. Qadir, Physics of Plasmas 20 (2013) 22901 (8 pages).
​161. “The effects of mass on the radiation of a relativistically rotating neutron star”, R.S. Herbst, A. Qadir, and E. Momoniat, New Astronomy 25 (2013) 38 – 44.
​162. “Magnetic field seed generation in plasmas by spacetime curvature”, A. Qadir, F.A. Asenjo and S.M. Mahajan, Physica Scripta 89 (2014) 084002, 7 pages.
​163. “Planck confirmation of the M31 disk and halo rotation”, F. De Paolis, V.G. Gurzadyan, A.A. Nucita, G. Ingrosso, A.L. Kashin, H.G. Khachatryan, S. Mirzoyan, A. Qadir and D. Vertugno, Astronomy and Astrophysics, 565 (2014) L3 1 -4.
​164. ​“Reduction of fourth order ordinary differential equations to second and third Lie linearizable forms”, H.M. Dutt and A. Qadir, Comm. Nonlin. Sci. and Numerical Simulation 19 (2014) 2653 – 2659.
​165. ​“Linearization from complex Lie point transformations”, S. Ali, M. Safdar and A. Qadir, J. Appl. Maths. 2014 (2014) 793247 (8 pages) doi:10.1155/2014/793247.
​166. ​“Noether symmetries and isometries of the minimal surface Lagrangian under constant volume in a Riemannian space”, A. Paliathanasis, A. Qadir and M. Tsamparlis, International Journal of Geometric Methods in Modern Physics (to appear).
​167. ​“Higher dimensional systems of differential equations obtainable by iterative use of complex methods”, A. Qadir and F.M. Mahomed, Int. J. Mod. Phys. (Conf. Ser.) 38 (2015) 1560077 (19 pages), eds. S. Ali, F.M. Mahomed and A. Qadir.
​167. ​“Sesquicentennial of the Presentation by James Clerk Maxwell of his paper ‘A Dynamical Theory of the Electromagnetic Field’ to the Royal Society of London”, D.P. Mason and A. Qadir, Int. J. Mod. Phys. (Conf. Ser.) 38 (2015) 1560070 (23 pages), eds. S. Ali, F.M. Mahomed and A. Qadir.
​168. ​“Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions”, M.H. Lail and A. Qadir, Applied Mathematics and Computation 263 (2015) 392 – 397.
​169. ​“Planck revealed bulk motion of Centaurus A lobes”, F. De Paolis, V.G. Gurzadyan, A.A. Nucita1, G. Ingrosso, A.L. Kashin, H.G. Khachatryan, S. Mirzoyan, G. Yegorian, Ph. Jetzer, A. Qadir and D. Vetrugno, Astronomy & Astrophysics 580 (2015) L8 DOI: http://dx.doi.org/10.1051/0004-6361/201526797).
​170. ​“Fourier transform representation of the generalized hypergeometric functions with applications to the confluent and Gauss hypergeometric functions”, M.H. Lail and A. Qadir, Applied Mathematics and Computation 263 (2015) 392 – 397.
​172. ​“Planck View of M82 Galaxy”, V.G. Gurzadyan, F. De Paolis, A.A. Nucita1, G. Ingrosso, A.L. Kashin, H.G. Khachatryan, S. Mirzoyan, G. Yegorian, Ph. Jetzer, A. Qadir and D. Vetrugno, Astronomy & Astrophysics 582 (2015) A77, 4 pages.
​173. ​“Invariant Linearization Criteria for a Three-Dimensional Dynamical System of Second-Order Ordinary Differential Equations and Applications”, A. Aslam, F.M. Mahomed and A. Qadir, International Journal of Non-Linear Mechanics 78 (2016) 9 = 16.
​174. ​“A generalization of the Goldbach and twin prime conjectures”, M.A. Chaudhry, A. Laradji, A. Qadir and J. Raza, International Journal of Open Problems in Complex Analysis (accepted and then withdrawn).

 

Local:
​S/No ​Reference
​175. “Mixing lengths and the velocity distribution” M. A. Gill and A. Qadir, Islamabad Journal of Science 3 (1976) 25-28.
​176. ​“The physical implications of the converse of Lie’s third theorem”, Q. Durrani and A. Qadir, Proc. Pak. Acad. Sci. 35(1998) 105-107.
​177. ​“A comment on curvature inheritance symmetry admitted by a Godel type spacetime”, A. H. Bokhari, A. R. Kashif, A. Qadir and L. A. Toonio, Proc. Pak. Acad. Sci. 37(2000) 281-282.
​178. ​“Gravitational Waves”, A. Qadir, Journal of GeoSpace Science, 1 (2015) 1 – 18.


b. Economics Research Publications:

Foreign: 
​S/No ​Reference
​179 “A comment on Tag-El-Din’s paper on ‘Conventional growth policy and the forgotten resources: a case for the ethical economic resource’”, S. N. H. Naqvi and A. Qadir, J. King Abdul Aziz University: Islamic Economics 13(2001)53-59.

Local:
 
​S/No ​Reference
​180. “A note on indifference analysis”, A. Qadir, Pak. Ec. & Soc. Rev. X (1971) 99-107. ​
​181. ​“A new approach to indifference analysis”, A. Qadir, Pak. Ec. & Soc. Rev XII (1974) 211-219.
​182. ​“A note on Von Neumann's general equilibrium model”, A. Qadir, Pak. Ec. & Soc. Rev. XIII (1975) 205-211.
​183. ​“Economic implications of Von Neumann's general equilibrium model”, A. Qadir, Pak. Ec. & Soc. Rev. XIII (1975) 213-214.
​183. ​“Quantum economics”, A. Qadir, Pak. Ec. & Soc. Rev. XVI (1978) 117-123.
​184. ​“Inflation in a growing economy”, A. Qadir and K. Qadir, Pak. Ec. & Soc. Rev. XIX (1981) 85-92.
​185. ​“Dual sector inflation in Pakistan” U. Afridi and A. Qadir, Pak. Dev. Rev. XXII (1983) 191-210.
​186. ​​“Effects of dual sector inflation across income levels in Pakistan” U. Afridi, A. Qadir and J. A. Zaki, Pak. Dev. Rev. XXIII (1984) 381-390.
1​87. ​​“Comments on educated unemployment, educational subsidies and growth” A. Qadir, Pak. Dev. Rev. XXIII (1984) 411-412.
​188. ​“Comments on profitability criteria and slack public enterprises” A. Qadir, Pak. Dev. Rev. XXIII (1984) 161-164.
​189. ​​“Incrementalism and structural change - a technical note” S.N.H. Naqvi A. Qadir and A. Qadir, Pak. Dev. Rev. XXIV (1985) 87-102.
​190.​ ​“Comments on energy policy: an optimal allocation approach” A. Qadir, Pak. Dev. Rev. XXIV (1986) 561-563.
​191. ​“Comments on higher education and the markets for educated labour in the LDCs: theoretical approaches and implications” A. Qadir, Pak. Dev. Rev. XXV (1986) 277-280.
​192. ​“Comments on stabilizing Pakistan's wheat supply: issues in the optimization of storage and trade policies” A. Qadir, Pak. Dev. Rev. XXV (1986) 467-468.
​193. ​“Comments on stabilization and economic growth” A. Qadir, Pak. Dev. Rev. XXVI (1987)360-361.

 

c. Mathematics and Physics Research Papers Published in Conference Proceedings:

International: 
​S/No ​Reference
​194. ​“Relativistic generalization of Newtonian forces” A. Qadir and J. Quamar, Proc. Third Marcel Grossmann Meeting, ed. Hu Ning, North Holland Publishing Company (1983)189-220.
​195. ​​“York's cosmic time versus proper time as relevant to changes in the dimensionless 'constants', K-meson decay and the unity of black hole and big crunch” A. Qadir and J. A. Wheeler, From SU(3) to Gravity: Yuval Ne'eman Festschrift, eds. E. S. Gotsman and G. Tauber, (Cambridge University Press 1985).
​196. ​​“A relativistic explanation for pulsar drift” A. Qadir and M. Rafique, Proc. Fourth Marcel Grossmann Meeting, Ed. R. Ruffini (Elsevier Science Publishers 1986), pp. 1597-1606.
​197. ​​“A conformal extension of pseudo-Newtonian forces and potentials” A.H. Bokhari and A. Qadir, ibid. pp. 1623-1634.
​198. ​​“A gravitating source in an evolving universe” A.H. Bokhari and A. Qadir, ibid. pp.1635-1642.
​199. ​“General relativistic singularity-free description of matter” I. Khan and A. Qadir, ibid. pp. 977-981.
​200. ​“Black holes in closed universes” A. Qadir, Proc. Fifth Marcel Grossmann Meeting, eds. D. G. Blair and M. J. Buckingham (World Scientific 1989)593-624.
​201. ​​“A relativistic explanation for the inclination of planetary orbits” A. Qadir and H.A. Rizvi, ibid., 1385-1405.
​202. ​“General relativity in terms of forces” A. Qadir, Proc. Third Regional Conference on Mathematical Physics, eds. F. Hussain and A. Qadir (World Scientific, 1990) pp. 481-490.
​203. ​“The gravitational force in general relativity”, A. Qadir, M.A.B. Beg Memorial Volume, eds. A. Ali and P.A. Hoodbhoy (World Scientific 1991). ​
​204. ​“Plane symmetric static spacetime”, A. Qadir and M. Ziad, Proc. Sixth Marcel Grossmann Meeting, eds. T. Nakamura and H. Sato, World Scientific (1993) pp.1115-1118.
​205. ​“Quantization on a sequence of spacelike hypersurfaces in a Schwarzschild geometry” A. Pervez and A. Qadir, Proc. Fourth Regional Conference on Mathematical Physics, Tehran, Iran, 12 - 17 May, 1990, eds. F. Ardalan, H. Arfaei and S. Rouhani, Sharif University Press 1994, pp.175-181.
​206. ​“Entropy constraints on accretion induced collapse of white dwarfs to neutron stars”, F. De Paolis. Ali Qadir and A. Qadir, Proc. ICRA Meeting on Collapsed Objects in Kzyrgzistan, ed. V. Gurovich, Kzyrgzistan University Press, 2001.
​207. ​“A singular solution of the Hoyle-Narlikar C-field theory”, Q. J. Hanif and A. Qadir, Proc. Ninth Marcel Grossmann, eds. V. G. Gurzadyan,  R. T. Jantzen and R. Ruffini, World Scientific, Singapore, 2002, pp1953-1954.
​208. ​​“Observing black holes”, Proceedings of the Eleventh Regional Conference on Mathematical Physics, eds. S. Rahvar, N. Sadooghi and F. Shojai, World Scientific 2005, F. De Paolis, G. Ingrosso, A. Nuccita and A. Qadir.
​209. ​​“The cosmic censorship hypothesis and the naked Reissner-Nordstrom singularity”, Proceedings of the Eleventh Regional Conference on Mathematical Physics, eds. S. Rahvar, N. Sadooghi and F. Shojai, World Scientific 2005, A. Qadir and A.A. Siddiqui.
​210. ​​“Curvature collineations of some plane symmetric spacetimes”, Proceedings of the Eleventh Regional Conference on Mathematical Physics, eds. S. Rahvar, N. Sadooghi and F. Shojai, World Scientific 2005, A.H. Bokhari, A.R. Kashif and A. Qadir.
​211. ​“Quantum non-locality, black holes and quantum gravity”, Proceedings of the Twelfth Regional Conference on Mathematical Physics, eds. J. Aslam, F. Hussain, A. Qadir, Riazuddin and H. Saleem, World Scientific 2007, A. Qadir, pp. 382 – 392.
​212. ​“Complete characterization of two-dimensional systems of geodesic equations”, Proceedings of the Twelfth Regional Conference on Mathematical Physics, eds. J. Aslam, F. Hussain, A. Qadir, Riazuddin and H. Saleem , World Scientific 2007,  A.R. Kashif, F.M. Mahomed and A. Qadir, pp. 369 -374.
​213. ​​“Gauss-Radau quadrature rules using a special class of polynomials”, M.A. Bokhari and A. Qadir, Proc. World Engineering Conference 2007 (available on-line).
​214. ​“Energy in gravitational waves”, I. Hussain and A. Qadir, Proc. 12th Marcel Grossmann Meeting 2009, eds. R. Jantzen and R. Ruffini, (World Scientific 2012) pp. 1868 - 1873.
​215. ​“The information loss paradox and the holographic principle”, A. Qadir, Proc. 13th Regional Conference on Mathematical Physics 2010, (World Scientific 2013) pp. 171 - 181.
​216. ​“The wrapping of magnetic lines of force about a fast rotating neutron star”, A. Qadir, R.S. Herbst and E. Momoniat, Proc. 13th Marcel Grossmann Meeting 2012, eds. R. Jantzen, K. Rosquist and R. Ruffini, (World Scientific) to appear.
​217. ​The wrapping of magnetic lines of force about a fast rotating neutron star”, A. Qadir, R.S. Herbst and E. Momoniat, Proc. 13th Marcel Grossmann Meeting 2012, eds. R. Jantzen, K. Rosquist and R. Ruffini, (World Scientific 2015).
​218. ​“Planck confirmation of the M31 disk and halo rotation”, F. De Paolis, D. Vertugno, A.A. Nucita, G. Ingrosso, V.G. Gurzadyan, P. Jetzer and A. Qadir, Proc. 13th Marcel Grossmann Meeting 2012, eds. R. Jantzen, K. Rosquist and R. Ruffini, (World Scientific 2015).
​219. ​“Radiative correction for generating magnetic fields in plasmas by spacetime curvature”, A. Qadir and R.S. Herbst, Proc. 14th Marcel Grossmann Meeting 2012, eds. Massimo Bianchi, R. Jantzen and R. Ruffini, (World Scientific online 2016).

 

Local:: 
​S/No ​Reference
​220. ​“At the frontiers of astrophysics”, A. Qadir, Frontiers of Physics, pp. 103 – 141, ed. Sajjad Mahmood, Quaid-i-Azam University, 1986.
​221. ​“At the frontiers of relativity”, A. Qadir, Proc. Fourth Nat. Symp. On Frontiers of Physics, pp. 315 - 341, Quaid-i-Azam University, 1993.
​222. ​“Gravitational waves and their observation”, Proc. Ninth Nat. Symp. On Frontiers of Physics, pp. 67 - 88, Government College University, 2003.
​223. ​“Introduction to general relativity, astrophysics and cosmology”, Proceedings of the Thirtieth International Nathiagali College on Physics and Contemporary Needs, National Centre for Physics Press 2006. Edited by J. Aslam, A. Qadir and Riazuddin.
​224. ​“Spacetime symmetries and their significance”, Application of Symmetry Methods: Proceedings of Workshop on Symmetry Methods and Their Applications, National Centre for Physics Press 2006. Edited by A. Qadir and K.Saifullah.

 

d. Economics Research Papers Published in Conference Proceedings:

International: 
​S/No ​Reference
​225. ​“Some comments on fiscal policy in an Islamic economy” A. Qadir, Fiscal Policy and Resource Allocation, eds. Z. Ahmed, M. Iqbal and M. F. Khan (1983) 82-87.
​226. ​​“Some comments on rate of capitalization in valuation models” A. Qadir, ibid. 302-311.
​227. ​“The relevance of mathematical economics for development” A. Qadir, Proc. Second Chittagong Conf. On Mathematical Economics and its Relevance for Development, ed. J. N. Islam, (Chittagong University Press 1997), pp.65-73.

 

e. Book Authored and Edited 

​S/No ​Reference
​1. ​History of Science in Central Asia, Proceedings of the National Seminar on the History of Science in Central Asian Civilizations, December 1974, Quaid-i-Azam University Press April 1978. Editor A. Qadir.
​2. ​Journal of Central Asia IV, No.1, July 1981, (special issue containing papers read at the International Congress on the History and Philosophy of Science, Islamabad, December 1979). Editor A. Qadir.
​3. ​​Physics and Contemporary Needs Vol. 5, Plenum Publishers 1983. Editors Riazuddin and A. Qadir.
​4. ​​Physics and Contemporary Needs Vol. 6, Plenum Publishers 1984. Editors A. M. Khan, A. Qadir, M. N. Qazi and S. Riazuddin.
​5. ​A Model of a Dynamic Islamic Economy and the Institution of Interest, Essays in Islamic Economic Philosophy No. 4, PIDE 1986. Authors S. N. H. Naqvi and A. Qadir.
​6. ​Physical Mathematics: Proceedings of the Third Albert Einstein Seminar, Albert Einstein Society (through PASTIC), November 1989. Editors A. H. Bokhari and A. Qadir.
​7. ​​Relativity: An Introduction to the Special Theory, World Scientific November 1989. Author: A. Qadir.
​8. ​Proceedings of the Third Regional Conference on Mathematical Physics, World Scientific, January 1990. Editors F. Hussain and A. Qadir.
​9. ​​Proceedings of the Mini-Workshop on Relativity, Astrophysics and Cosmology, Quaid-i-Azam University 1992. Editors A. Qadir and M. Sharif.
​10. ​Proceedings of the Fourth Symposium on the Frontiers of Physics, Quaid-i-Azam University 1994. Editors G. Murtaza, A. Qadir and M. A. Baig.
​11. ​Experimental Gravitation, Institute of Physics Press 1994. Editors M. Karim and A. Qadir.
​12. ​Classical and Quantum Gravity 11, No. 6A, June 1994 (supplementary issue for invited papers from the International Symposium on Experimental Gravitation 26 June – 2 July, 1993, Nathiagali, Pakistan. Editors M. Karim and A. Qadir.
​13. ​​Applications of Symmetry Methods, National Centre for Physics Press 2006, Editors A. Qadir and K. Saifullah.
​14. ​Proceedings of the Thirtieth International Nathiagali College on Physics and Contemporary Needs, National Centre for Physics Press 2006. Edited by J. Aslam, A. Qadir and Riazuddin.
​15. ​​Application of Symmetry Methods: Proceedings of Workshop on Symmetry Methods and Their Applications, National Centre for Physics Press 2006. Edited by A. Qadir and K.Saifullah.
​​16. ​​Proceedings of the Twelfth Regional Conference on Mathematical Physics, World Scientific (2007). Editors J. Aslam, F. Hussain, A. Qadir and Riazuddin.
​17. ​Topology for Beginners, under preparation, by N. Mohammad and A. Qadir.
​18. Edited special issues of J. Central Asia (82), Class. & Quant. Grav. (94), Nuovo Cim. B (09), Gen. Rel. & Grav. (11), Eur. J. Physics (Conf. Ser.), J. Appl. Maths. ​

 

f. Research Article 
​S/No ​Reference
​1. ​“Modern scientific thought in perspective”, A. Qadir, in Books ref.1.
​2. ​​“Einstein’s view of physics”, A. Qadir, in Books ref. 2.
​3. ​“Cosmology today”, R. Ruffini and A. Qadir, Physics and Contemporary Needs Vol. 2 (Plenum Publishers 1978) (ed. Riazuddin).
​4. ​“Some recent developments in astrophysics”, L. Z. Fang, A. Qadir and R. Ruffini, in Books ref. 3. 
​5. ​“Scientific method and the philosophy of science”, A. Qadir, preprint of the Centre for Central Asian Civilizations 1980.
​6. ​“Concepts of contemporary cosmology”, A. Qadir, was to appear in Physics and Contemporary Needs Vol. 8, but that was never published.
​7. ​“An introduction to standard cosmology”, A. Qadir, preprint of a requested lecture in the Workshop of High Energy Physics and Cosmology, ICTP 1984.
​8. ​“Dark matter in the Universe”, A., Qadir, was to appear in Physics and Contemporary Needs Vol. 10, but that was never published.
​9. ​“At the frontiers of astrophysics”, A., Qadir, Proc. Symposium on Frontiers of Physics 1986, ed. G. Murtaza, Quaid-i-Azam University 1987.
​10. ​“A relativistic explanation of the inclination of planetary orbits”, Z. U. Mian, A. Qadir, J. Quamar and H. A. Rizvi, Contributed Seminars in the 10th International Nathiagali College, 1990 (eds. I. E. Qureshi, A. Sadiq and K. Rashid).
​11. ​“Frontiers of cosmology”, A., Qadir, Proc. 2nd Symposium on Frontiers of Physics, eds. G. Murtaza, A. Qadir and M. A. Beg, Pakistan Physical Society 1990.
​12. ​“The changing conception of science and its impact on the social sciences”, A. Qadir, which was to appear in a journal of the Quaid-i-Azam University on the social sciences, but the journal never appeared.
​13. ​“The gravitational force in general relativity”, A. Qadir, M. A. B. Beg Memorial Volume, eds. A. Ali and P. A. Hoodbhoy, World Scientific 1991.
​14. ​​“Interpretation of the quantum formalism”, A., Qadir, Bangladesh Journal of Mathematical and Physical Sciences 1(1992) 1-10.
​15. ​“Quantization on space-like hypersurfaces near black holes in closed universe models”, A., Qadir, Proc. 3rd Symposium on Frontiers of Physics, eds. G. Murtaza and F. Khwaja, Pakistan Physical Society 1992.
​16. ​“Upper bounds on entropy”, A. Qadir, Physical Mathematics: Proc. Third Albert Einstein Seminar, eds. A. H. Bokhari and A. Qadir (Albert Einstein Society through PASTIC 1989).
​17. ​​“Time-varying forces in relativity”, A., Qadir and M. Sharif, Proceedings of the Fourth Regional Conference on Mathematical Physics, eds. F. Ardalan, H. Arafei and S. Rouhani, Sharif University 1990.
​18. ​“Energy in gravitational waves”, A., Qadir and M. Sharif, was to appear in Proceedings of the Fifth Regional Conference on Mathematical Physics, eds. M. Koca and S. A. Baran, which never appeared.
​19. ​“An investigation of the crushing singularities of spherically symmetric spacetimes”, Proceedings of the Mini-Workshop on Relativity, Astrophysics and Cosmology, Quaid-i-Azam University 1991, eds. A. Qadir and M. Sharif.
​20. ​“A particle interpretation of the quantum formalism”, A. Qadir and M. Ziad, Proceedings of the International Chittagong Conference on the Foundations of Mathematics and Physics, ed. J. N. Islam, Chittagong University.
​21. ​“Non- static analogues of some spherically symmetric metrics”, A. Qadir and M. Ziad, ibid.
​22. ​“Impact of Islam on Science”, A. Qadir Proceedings of the DAAD Workshop on the Impact of Religion on Science, University of Kaiserslautern, Germany, 2002.
​23. ​“Spacetime symmetries and their significance”, A. Qadir Applications of Symmetry Methods, eds. A. Qadir and K. Saifullah, National Centre for Physics Press, Islamabad, Pakistan, 2006.
​24. ​“Relativity, astrophysics and cosmology”, Proceedings of the 30th International Nathiagali Summer College, eds. M.J. Aslam, A. Qadir and Riazuddin, National Centre for Physics Press, Islamabad, Pakistan, 2006.

 

g. Teaching Journal Publication (Problem & Solution):
Problems:
​S/No ​Reference
​1. ​“A definite integral in probability theory”, M. A. Chaudhry, A. Qadir, M. Rafiq and S. M. Zubair, SIAM Reviews 38(1996) 514-515.
​2. ​“An inequality involving harmonic functions”, M. A. Chaudhry, M. T. Boudjelkha and A. Qadir, SIAM Reviews.
​3. ​“On the zeros of an integral function”, M. A. Chaudhry and A. Qadir, SIAM Reviews.

 

Solutions:
​S/No ​Reference
1.​ ​​“A determinant of mostly 1’s”, A. Qadir and A. B. Thaheem, The College Math. Jour. 28(1997) No.5, solution of problem #587.
​2. ​“On the Wu Wei Chao inequality xx + yy > xy + yx “, H. Azad, A. Qadir and A. B. Thaheem, The College Math. Jour. 29(1998) 67.
​3. ​“A binomial inequality: Solution of problem #594”, G. R. Miller, A. Qadir and A. B. Thaheem, The College Math. Jour. 29(1998) 70.
​4. ​​“Beke’s functional equation”, H. Azad, G. K. Beg, Y. Fiagbedzi, A. Laradji, G. Miller, A. Qadir and A. B. Thaheem, Amer. Math. Monthly, 1(1998) 184.

 

C​ourses Taught:

Advanced Calculus/Real Analysis I and II (M.Sc. QAU);
Advanced Calculus III (BS KFUPM); 
Topology (M.Sc. QAU);
Linear Algebra (M.Sc. QAU);
Group Theory (M.Sc. QAU);
Differential Equations (M.Sc. QAU & BS KFUPM);
Partial Differential Equations (M.Sc. QAU);
Mechanics (M.Sc. QAU);
Differential Geometry I&II (M.SC. QAU & BS/MS KFUPM);
Engineering Mathematics (BS KFUPM);
Advanced Methods of Applied Mathematics for Engineers (BS KFUPM);
Mathematical Statistics I&II (M.Sc. QAU);
Complex Analysis (M.Sc. QAU);
Numerical Methods (M.Sc. QAU);
Optimization Theory (M.Sc. QAU);
Relativity I&II (M.Sc. QAU);
Quantum Mechanics I&II (M.Sc. QAU);
Continuum Mechanics (M.Sc. QAU);
Electromagnetism (M.Sc. QAU);
Measure & Integration (M.Sc. QAU);
Functional Analysis I (M.Sc. QAU);
Advanced Engineering Mathematics (MS KFUPM);
Partial Differential Equations (MS KFUPM);
Optimization Theory (M.Phil. Sandwich programme & later M.Sc. QAU);
Classical Theory of Fields (M.Phil. QAU, SNS);
General Relativity (M.Phil. QAU, MS KFUPM & SNS);
Cosmology (M.Phil. QAU & Ph.D. SNS);
Spinor Formalism in Relativity (M.Phil. QAU; PhD SNS);
Twistor Theory (PhD SNS); 
Astrophysics (M.Phil. QAU, PhD SNS);
Lie Algebras (M.Phil. QAU);
Mathematics for Engineers I (BE GIKI);
Elementary Differential Equations (BS KFUPM);
Mathematics for Economists (In-service course at PIDE);
Advanced Mathematics for Economists (In-service course at PIDE);
Numerical Analysis (Science & Technology Training programme);
Algebra (M.Phil. SNS);
Differential Equations (PhD SNS);
Symmetry Methods for Differential Equations I & II (PhD SNS);
Special Functions I & II (PhD SNS);
Electrodynamics (M.Phil. Phys.* SNS);
Classical Mechanics (M.Phil. Phys. SNS);
Thermal Physics (M.Phil. Phys. SNS);
Differential Equations for Physicists (M.Phil. SNS).