Publications, etc.

Erdös Number 2 through:

Einstein Number 3 through:

Books:

  1. Mathematical Analysis, Wavelets, and Signal Processing, Proceedings of an International Conference on Mathematical Analysis and Signal Processing, co-edited with M.Z. Nashed, A.I. Zayed and A.F. Ghaleb, Contemporary Mathematics, Volume 190, American Mathematical Society, Providence, 1995.

  2. Special Functions, q-Series and Related Topics, co-edited with D. Masson and M. Rahman, Fields Institute Communications, Volume 14, American Mathematical Society, Providence, 1997.

  3. q-Series From a Contemporary Perspective, co-edited with D. Stanton, Contemporary Mathematics, volume 254, American Mathematical Society, Providence, 2000.

  4. Special Functions, co-edited with C. F. Dunkl and R. Wong, World Scientific, 2000.

Special Issues:

  1. Special issue dedicated to R. Askey and F.W.J. Olver, co-edited with G. Andrews, G. Gasper and P. Nevai, SIAM J. Math. Anal. 25 (2) (1994), 243-814.

  2. Special volume on q-series, co-edited with D. Masson, J. Comp. Appl. Math. 68 (1996).

  3. Special issues of Methods and Applications of Analysis, co-edited with D. Stanton, volume 5, 1999.

Papers:

  1. On some conjectures of Askey concerning completely monotonic functions, with J. Fields, in “Spline Functions and Approximation Theory,” edited by A. Meir and A. Sharma, International Series on Numerical Mathematics, Vol. 21, 1973, Birkhauser Verlag, Basel, pp. 101-111.

  2. On obtaining generating functions of Boas and Buck type for orthogonal polynomials, SIAM J. Math. Anal. 5 (1974), 202-208.

  3. On a generalization of Szäsz operators, Mathematica (Cluj) 16 (1974), 259-267.

  4. Orthogonal polynomials in a class of polynomials, Bull. Polytech. 1st, Iasy, Sect. I: Math., Mech., Theor. Phys. 20 (1974), 45-50.

  5. A sequence to function analogue of the Hausdorff means for double sequences: the [J,f(x,y)] means, Proc. Amer. Math. Soc. 48 (1975), 403-408.

  6. On the positivity of some 1F2's joint with J. Fields, SIAM J. Math. Anal. 6 (1975), 551-559.

  7. A positive sum from summability theory, joint with R. Askey and G. Gasper, J. Approx. Theory 13 (1975), 413-420.

  8. Dual and triple sequence equations involving orthogonal polynomials, Indagationes Math. 37 (1975), 164-169.

  9. Some operational formulas, joint with W. Al-Salam, J. Math. Anal. Appl. 51 (1975), 208-218.

  10. Polynomial expansions, joint with J. Fields, Mathematics of Computation 29 (1975), 894-902.

  11. The Bessel polynomials and the student t-distribution, joint with D. Kelker, SIAM J. Math. Anal. 7 (1976), 82-91.

  12. Polynomials orthogonal with respect to discrete convolution, joint with W. Al-Salam, J. Math. Anal. Appl. 55 (1976), 125-139.

  13. Permutation problems and special functions, joint with R. Askey, Canadian J. Math. 28 (1976), 853-874.

  14. Unitary analogue of Carmichael's problem, joint with M.V. Subbarao, Indian J. Math. 18 (1976), 49-55.

  15. Connection relations and bilinear formulas for the classical orthogonal polynomials, J. Math. Anal. Appl. 57 (1977), 487-496.

  16. Polynomial expansions and generating functions, joint with T. Rashed, J. Math. Anal. Appl. 57 (1977), 724-731.

  17. A simple proof of Ramanujan's 1ψ1 sum, Proc. Amer. Math. Soc. 63 (1977), 185-186.

  18. Bessel functions and the infinite divisibility of the student t-distribution, Ann. Prob. 5 (1977), 582-585.

  19. Integral representations and complete monotonicity of various quotients of Bessel functions, Canadian J. Math. 29 (1977), 1198-1207.

  20. Reproducing kernels for q-Jacobi polynomials, joint with W. Al-Salam, Proc. Amer. Math. Soc. 67 (1977), 105-110.

  21. Monotonicity of the zeros of a cross-product of Bessel functions, joint with M. Muldoon, SIAM J. Math. Anal. 9 (1978), 759-767.

  22. On solving differential and difference equations with variable coefficients, J. Math. Anal. Appl. 62 (1978), 81-89.

  23. On solving certain differential equations with variable coefficients, Aequationes Mathematicae 17 (1978), 148-153.

  24. On a family of approximation operators, joint with C.P. May, J. Math. Anal. Appl. 63 (1978), 446-462.

  25. Polynomials of binomial type and approximation theory, J. Approx. Theory 23 (1978), 177-186.

  26. A family of operational calculi, joint with W. Al-Salam, Math. Japonica 22 (1978), 571-583.

  27. Weighted permutation problems and Laguerre polynomials, joint with R. Askey and T. Koornwinder, J. Combinatorial Theory (Ser. A) 25 (1978), 277-287.

  28. A combinatorial approach to some positivity problems, joint with M.V. Tamhankar, SIAM J. Math. Anal. 10 (1979), 478-485.

  29. Special functions, Stieltjes transforms and infinite divisibility, joint with D. Kelker, SIAM J. Math. Anal. 10 (1979), 884-901.

  30. Special functions, infinite divisibility and solutions of certain transcendental equations, joint with C.P. May, Math. Proc. Cambridge Philos. Soc. 85 (1979), 453-464.

  31. The very well-poised 6ψ6, joint with R. Askey, Proc. Amer. Math. Soc. 77 (1979), 218-222.

  32. On an umbral calculus, joint with E. Ihrig, Proc. 10th Southeastern Conference on Combinatorics, Graph Theory and Computing, (1979), 523-528.

  33. The Rogers q-ultraspherical polynomials, joint with R. Askey, in “Approximation Theory III,” E. Cheney (ed.), Academic Press, New York, 1980, pp. 175-182.

  34. Asymptotic and explicit formulas for a non-Markovian model with linear transition rule, joint with R. Theodorescu, Biometrical J. (formerly Biomerische Zeit.) 22 (1980), 67-71.

  35. The basic Bessel functions and polynomials, SIAM J. Math. Anal. 12 (1981), 454-468.

  36. A q-umbral calculus, joint with E. Ihrig, J. Math. Anal. Appl. 84 (1981), 178-207.

  37. The zeros of basic Bessel functions, the functions Jν+ax(x) and the associated orthogonal polynomials, J. Math. Anal. Appl. 86 (1982), 1-19.

  38. An infinitely divisible distribution involving modified Bessel functions, joint with K. Miller, Proc. Amer. Math. Soc. 85 (1982), 233-238.

  39. The associated classical orthogonal polynomials and their q-analogues, joint with J. Bustoz, Canadian J. Math. 34 (1982), 718-736.

  40. Asymptotic and generating relations for the q-Jacobi and 4φ3 polynomials, joint with J. Wilson, J. Approx. Theory 36 (1982), 43-54.

  41. On Dumont polynomials, joint with D. Stewart, Discrete Mathematics 41 (1982), 155-160.

  42. Orthogonal polynomials suggested by a queueing model, joint with T. Chihara, Advances in Appl. Math. 3 (1982), 441-462.

  43. Coefficients in expansions of certain rational functions, joint with R. Evans and D. Stanton, Canadian J. Math. 34 (1982), 1011-1024.

  44. Orthogonal polynomials associated with the Rogers-Ramanujan continued fraction, joint with W. Al-Salam, Pacific J. Math. 105 (1983), 269-283.

  45. A generalization of the ultraspherical polynomials, joint with R. Askey, in “Studies in Pure Mathematics,” P. Erdös (ed.), Birkhauser Verlag, Basel, 1983, pp. 55-78.

  46. Turan type inequalities for ultraspherical and continuous q-ultraspherical polynomials, joint with J. Bustoz, SIAM J. Math. Anal. 14 (1983), 807-819.

  47. Recurrence relations, continued fractions and orthogonal polynomials, joint with R. Askey, Memoirs Amer. Math. Soc. 300 (1984), 112 pages.

  48. A queueing model and a set of orthogonal polynomials, J. Math. Anal. Appl. 108 (1985), 575-594.

  49. The attractive Coulomb potential polynomials, joint with E. Bank, Constructive Approximation 1 (1985), 103-119.

  50. On sieved orthogonal polynomials I: Symmetric Pollaczek analogues, SIAM J. Math. Anal. 16 (1985), 1093-1113.

  51. On sieved orthogonal polynomials II: Random walk polynomials, joint with J. Charris, Canadian J. Math. 38 (1986), 397-414.

  52. On sieved orthogonal polynomials III: Polynomials orthogonal on several intervals, Transactions Amer. Math. Soc. 294 (1986), 89-111.

  53. On sieved orthogonal polynomials IV: Generating functions, J. Approximation Theory 46 (1986), 284-296.

  54. Completely monotonic functions associated with the gamma function and its q-analogues, joint with L. Lorch and M. Muldoon, J. Math. Anal. Appl. 116 (1986), 1-9.

  55. Certain monotonicity properties of Bessel functions, joint with M. Muldoon, J. Math. Anal. Appl. 118 (1986), 145-150.

  56. Asymptotics of the Askey-Wilson and q-Jacobi polynomials, SIAM J. Math. Anal. 17 (1986), 1475-1482.

  57. On zeros of Bessel functions, Applicable Analysis 22 (1986), 167-168.

  58. On gamma function inequalities, joint with J. Bustoz, Mathematics of Computation 47 (1986), 659-667.

  59. The variation of zeros of certain orthogonal polynomials, Advances in Appl. Math. 8 (1987), 111-118.

  60. The generalized Chebyshev polynomials, joint with F. Mulla, SIAM J. Math. Anal. 18 (1987), 243-258.

  61. On sieved orthogonal polynomials V: Sieved Pollaczek polynomials, joint with J. Charris, SIAM J. Math. Anal. 18 (1987), 1177-1218.

  62. The combinatorics of q-Hermite polynomials and the Askey-Wilson integral, joint with G. Viennot and D. Stanton, European J. Combinatorics 8 (1987), 379-392.

  63. Linear birth and death models and associated Laguerre polynomials, joint with J. Letessier and G. Valent, J. Approx. Theory 55 (1988), 337-348.

  64. On the Hellmann-Feynman theorem and the variation of zeros of special functions, joint with R. Zhang, Advances in Appl. Math. 9 (1988), 439-446.

  65. On the variation with respect to a parameter of zeros of Bessel functions and q-Bessel functions, joint with M. Muldoon, J. Math. Anal. Appl. 135 (1988), 187-207.

  66. q-Beta integrals and the q-Hermite polynomials, joint with W. Al-Salam, Pacific J. Math 135 (1988), 209-221.

  67. Zeros of combinations of Bessel functions and their derivatives, joint with M. Muldoon, Applicable Analysis 31 (1988), 73-90.

  68. On the Askey-Wilson and Rogers polynomials, joint with D. Stanton, Canadian J. Math. 40 (1988), 1025-1045.

  69. A positive trigonometric sum, joint with J. Bustoz, SIAM J. Math. Anal. 20 (1989), 176-181.

  70. Quadratic birth and death processes and associated continuous dual Hahn polynomials, joint with J. Letessier and G. Valent, SIAM J. Math. Anal. 20 (1989), 727-737.

  71. The Hellmann-Feynman theorem and zeros of special functions, joint with R. Zhang, Invited Address, in “Ramanujan International Symposium on Analysis,” edited by N.K. Thakare, McMillan of India, Delhi, 1989, 151-183.

  72. Contiguous relations, basic hypergeometric functions and orthogonal polynomials I, joint with C. Libis, J. Math. Anal. Appl. 141 (1989), 349-372.

  73. Monotonicity of zeros of orthogonal polynomials, Invited Address, in “q-Series and Partitions,” D. Stanton (ed.), IMA Volumes in Mathematics and Its Applications, Vol. 18, Springer-Verlag, New York, 1989, pp. 177-190.

  74. Complete monotonicity of modified Bessel functions, Proc. Amer. Math. Soc. 108 (1990), 353-361.

  75. An asymptotic problem in derangement theory, joint with J. Gillis and T. Offer, SIAM J. Math. Anal. 21 (1990), 262-269.

  76. Birth and death processes and orthogonal polynomials, joint with J. Letessier, D. Masson, and G. Valent, in “Orthogonal Polynomials: Theory and Practice,” P. Nevai (ed.), Proc. NATO ASI on Orthogonal Polynomials and Their Applications, Kluwer Academic Publishers, 1990, pp. 225-229.

  77. On sieved orthogonal polynomials VI: Differential equations, joint with J. Bustoz and J. Wimp, Differential and Integral Equations 3 (1990), 757-766.

  78. A generalization of starlike functions, joint with E. Merkes and D. Styer, Complex Variables 14 (1990), 77-84.

  79. Two families of associated Wilson polynomials, joint with J. Letessier, G. Valent and J. Wimp, Canadian J. Math. 42 (1990), 659-695.

  80. A discrete approach to monotonicity of zeros of orthogonal polynomials, joint with M. Muldoon, Transactions Amer. Math. Soc. 323 (1991), 65-78.

  81. Two families of orthogonal polynomials related to Jacobi polynomials, joint with D. Masson, Rocky Mountain J. Math. 21 (1991), 359-375.

  82. On asymptotics of Jacobi polynomials, joint with L. Chen, SIAM J. Math. Anal. 22 (1991), 1442-1449.

  83. Associated Askey-Wilson polynomials, joint with M. Rahman, Trans. Amer. Math. Soc. 328 (1991), 201-239.

  84. Some results on associated Wilson polynomials, joint with J. Letessier, G. Valent, and J. Wimp, in “Orthogonal Polynomials and Their Applications,” C. Brezinski, L. Gori and A. Ronveaux (eds.), J.C. Baltzer Ag, Basel (1991), pp. 293-298.

  85. A minimal solution approach to polynomial asymptotics, joint with D. Masson and E. Saff, in “Orthogonal Polynomials and Their Applications,” C. Brezinski, L. Gori and A. Ronveaux (eds.), J.C. Baltzer Ag, Basel, 1991, pp. 299-303.

  86. Associated continuous Hahn polynomials, joint with D.P. Gupta and D. Masson, Canadian J. Math. 43 (1991), 1263-1280.

  87. Complex weight functions for the classical orthogonal polynomials, joint with D. Masson and M. Rahman, Canadian J. Math 43 (1991), 1294-1308.

  88. Padé approximants for some q-hypergeometric functions, joint with R. Perline and J. Wimp, in “Progress in Approximation Theory,” A.A. Gonchar and E.B. Saff (eds.), Springer-Verlag, New York, 1992, pp. 37-50.

  89. On sieved orthogonal polynomials IX: Orthogonality on the unit circle, joint with X. Li, Pacific J. Math. 153 (1992), 289-297.

  90. On sieved orthogonal polynomials VIII: Associated sieved Pollaczek polynomials, joint with N. Al-Salam, J. Approximation Theory 68 (1992), 306-324.

  91. Bounds for extreme zeros of orthogonal polynomials, joint with X. Li, Proc. Amer. Math. Soc. 115 (1992), 131-140.

  92. Birth and death processes with absorption, joint with J. Letessier and G. Valent, Int. J. Math. Math. Sci. 15 (1992), 469-480.

  93. A solvable random matrix model for disordered conductors, joint with Y. Chen and K. Muttalib, J. Phys.: Condensed Matter 4 (1992), L417-L423.

  94. Relation between polynomials orthogonal on the unit circle with respect to different weights, joint with R. Ruedemann, J. Approximation Theory 71 (1992), 39-60.

  95. Contiguous relations, basic hypergeometric functions and orthogonal polynomials II: Associated big Jacobi polynomials, joint with D.P. Gupta and D. Masson, J. Math. Anal. Appl. 171 (1992), 477-497.

  96. Extremal measures for a system of orthogonal polynomials, joint with T. Chihara, Constructive Approximation 9 (1993), 111-119.

  97. Metallic and insulating behavior in an exactly solvable random matrix model, joint with Y. Chen and K.A. Muttalib, J. Phys.: Condensed Matter 5 (1993), 171-190.

  98. Extremal measures for q-Hermite polynomials when q > 1, joint with D.R. Masson, Math. Rep. Royal Soc. Canada 15 (1993), 7-12.

  99. On sieved orthogonal polynomials VII: Generalized polynomial mappings, joint with J. Charris, Trans. Amer. Math. Soc. 340 (1993), 71-93.

  100. On some strange summation formulas, joint with R.W. Gosper and R. Zhang, Illinois J. Math. 38 (1993), 240-277.

  101. A new family of unitary random matrices, joint with K.A. Muttalib, Y. Chen and V.N. Nicopoulos, Phys. Rev. Letters 71 (1993), 471-475.

  102. Pages from the computer files of R. William Gosper, joint with Y. Takeuchi and R. Zhang, Proc. Amer. Math. Soc. 119 (1993), 747-760.

  103. Ladder operators for q-1-Hermite polynomials, Math. Rep. Royal Soc. Canada 15 (1993), 261-266.

  104. On sieved orthogonal polynomials X, joint with J. Charris and S. Monsalve, Pacific J. Math. 163 (1994), 237-267.

  105. Asymptotics of Pollaczek polynomials and their zeros, SIAM J. Math. Anal. 25 (1994), 462-473.

  106. A q-beta integral on the unit circle and some biorthogonal rational functions, joint with W. Al-Salam, Proc. Amer. Math. Soc. 121 (1994), 553-561.

  107. Diagonalization of certain integral operators, joint with R. Zhang, Advances in Math. 109 (1994), 1-33.

  108. q-Hermite polynomials, biorthogonal rational functions, and q-beta integrals, joint with D. Masson, Trans. Amer. Math. Soc. 346 (1994), 63-116.

  109. Inequalities and monotonicity properties for gamma and q-gamma functions, joint with M. Muldoon, in “Approximation and Computation,” R. Zahar (ed.), A Festschrift in honor of Walter Gautschi, ISNM, Birkhauser, Boston, 1994, pp. 309-324.

  110. Bounds for the small real and pure imaginary zeros of Bessel functions, joint with M. Muldoon, Methods and Applications of Analysis 2 (1995), 1-21.

  111. A right inverse of the Askey-Wilson operator, joint with B.M. Brown, Proc. Amer. Math. Soc. 123 (1995), 2071-2079.

  112. Asymptotics of basic Bessel functions and q-Laguerre polynomials, joint with Y. Chen and K.A. Muttalib, J. Comp. Appl. Math. 54 (1995), 263-273.

  113. Generalized orthogonality and continued fractions, joint with D. Masson, J. Approximation Theory  83 (1995), 1-40.

  114. Some basic bilateral sums and integrals, joint with M. Rahman, Pacific J. Math. 170 (1995), 497-515.

  115. Impact of localization on Dyson's circular, joint with K.A. Muttalib, J. Physics A 28 (1995), L541-548.

  116. The Askey-Wilson operator and summation theorems, in “Mathematical Analysis, Wavelets, and Signal Processing,” M. Ismail, M.Z. Nashed, A. Zayed and A. Ghaleb (eds.), Contemporary Mathematics, volume 190, American Mathematical Society, Providence, 1995, pp. 171-178.

  117. The Askey-Wilson polynomials and q-Sturm-Liouville problems, joint with B.M. Brown and W.D. Evans, Math. Proc. Cambridge Philosophical Society 119 (1996), 1-16.

  118. Diagonalization of certain integral operators II, joint with M. Rahman and R. Zhang, J. Comp. Appl. Math. 68 (1996), 163-196.

  119. q-Hermite polynomials and the classical polynomials, joint with C. Berg, Canadian J. Math. 48 (1996), 43-63.

  120. Ladder operators for Szegö polynomials and related biorthogonal rational functions, joint with M. Rahman, Proc. Amer. Math. Soc. 124 (1996), 2149-2159.

  121. On a parametric diesel function, joint with A.Z. Grinshpan, Math. Rep. Royal Soc. Canada 19 (1996), 53-58.

  122. Relativistic orthogonal polynomials are Jacobi polynomials, J. Physics A 29 (1996), 3199-3202.

  123. Binomial and q-binomial coefficient inequalities related to the Hamiltonicity of the Kneser graphs and their q-analogues, joint with W.E. Clark, J. Comb. Theory A 76 (1996), 83-98.

  124. Contiguous relations, basic hypergeometric functions and orthogonal polynomials III: Associated contiguous dual q-Hahn polynomials, joint with D.P. Gupta and D. Masson, J. Comp. Appl. Math. 68 (1996), 115-149.

  125. On an integral operator and its spectrum, joint with J. Bustoz and J. Ma, Illinois Journal of Mathematics 40 (1996), 648-661.

  126. Fractional powers of a difference operator, Computers and Mathematics 33 (1997), 145-150.

  127. Classical orthogonal polynomials as moments, joint with D. Stanton, Canadian Journal of Mathematics 49 (1997), 520-542.

  128. Some summation theorems and transformations for q-series, joint with M. Rahman and S. Suslov, Canadian Journal of Mathematics 49 (1997), 543-567.

  129. Turan inequalities for symmetric orthogonal polynomials, joint with J. Bustoz, International Journal of Mathematics and Mathematical Sciences 20 (1997), 1-8.

  130. Some generating functions for q-polynomials, joint with D. Masson and S. Suslov, in “Special Functions, q-Series and Related Topics,”  M. Ismail, D. Masson and M. Rahman (eds.), Proceedings of the Fields Institute Workshop on Special Functions and q-series, American Mathematical Society, 1997, pp. 91-108.

  131. Remarks on a paper by Giordano, Laforgia and Pecaric, J. Math. Anal. Appl. 211 (1997), 621-625.

  132. Fourier transform of hn(x+p)hn(x-p), joint with K. Stempak, Int. J. Math. Math. Sci. 29 (1997), 613-615.

  133. Thermodynamic relations of the recurrence coefficients of orthogonal polynomials, joint with Y. Chen, Journal of Physics A: Mathematical and General 30 (1997), 6633-6654.

  134. Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials, joint with Y. Chen, J. Comp. Appl. Math. 82 (1997), 59-78.

  135. Ladder operators and differential equations for orthogonal polynomials, joint with Y. Chen, Journal of Physics A: Mathematical and General 30 (1997), 7818-7829.

  136. Hermitean matrix ensembles and orthogonal polynomials, joint with Y. Chen, Studies in Appl. Math. 100 (1998), 33-52.

  137. Tau-function construction of the recurrence coefficients of orthogonal polynomials, joint with Y. Chen and W. Van Assche, Advances in Applied Mathematics 20 (1998), 141-168.

  138. More orthogonal polynomials as moments, joint with D. Stanton, Mathematical Essays in Honor of Gian-Carlo Rota, B. Sagan and R.P. Stanley (eds.), Birkhauser, Basel, 1998, pp. 377-396.

  139. Some indeterminate moment problems and Freud-like weights, joint with Y. Chen, Constructive Approximation 14 (1998), 439-458.

  140. Discriminants and functions of the second kind of orthogonal polynomials, Results in Mathematics 34 (1998), 132-149.

  141. The q-Laguerre polynomials and related moment problems, joint with M. Rahman, Journal of Mathematical Analysis and Applications 218 (1998), 155-174.

  142. On a family of orthogonal polynomials related to elliptic functions, joint with G. Valent, Illinois Journal of Mathematics 42 (1998), 294-312.

  143. Remarks on a paper on semiorthogonal relations, Integral Transforms and Special Functions 7 (1998), 313-316.

  144. Asymptotics of the largest zeros of some orthogonal polynomials, joint with Y. Chen, J. Phys. A 31 (1998), 5525-5544.

  145. In memoriam, Waleed Al-Salam (Obituary), joint with T.S. Chihara, J. Approx. Theory 95 (1998), 153-160.

  146. Asymptotics of the Krawchouck polynomials, joint with P. Simeonov, J. Comp. Appl. Math. 100 (1998), 121-144.

  147. On differential equations for orthogonal polynomials, joint with J. Wimp, Methods and Applications of Analysis 5 (1998), 439-452.

  148. Discriminants and electrostatics of general orthogonal polynomials, Mathematical Reports of the Royal Society of Canada 20 (1998), 108-112.

  149. Asymptotics of Racah coefficients and polynomials, joint with L.-C. Chen and P. Simeonov, J. Physics A 32 (1999), 537-553.

  150. Lattice paths and positive trigonometric sums, joint with D. Kim and D. Stanton, Constructive Approximation 15 (1999), 69-81.

  151. The q-Bessel functions on q-quadratic grid, joint with D. Masson and S. Suslov, Proceedings of the CRM workshop on Special Functions, R. Floreannini and L. Vinet (eds.), American Mathematical Society, Providence, 1999, pp. 183-200.

  152. A curious expression for the Weyl fractional integral, joint with M.L. Glasser, Fractional Calculus and Applied Analysis 2 (1999), 145-148.

  153. Quadratic q-exponentials and connection coefficient problems, joint with D. Stanton and M. Rahman, Proceedings of the American Mathematical Society 127 (1999), 2931-2941.

  154. Variants on the Rogers-Ramanujan identities, joint with K. Garrett and D. Stanton, Advances in Applied Math. 23 (1999), 274-299.

  155. Some continued fractions related to elliptic functions, joint with D.R. Masson, in “Continued Fractions: From Analytic Theory to Constructive Approximation,” B.C. Berndt and F. Gesztesy (eds.), Contemporary Mathematics, volume 236, 1999, pp. 149-166.

  156. An electrostatic model for zeros of general orthogonal polynomials, Pacific Journal of Mathematics 193 (2000), 355-369.

  157. Schur's determinants and partition theorems, joint with H. Prodinger and D. Stanton, Séminaire Lotharingien de Combinatoire, B 44a (2000), 10 pages.

  158. The mathematical contributions of Richard Askey, joint with G. Gasper, T. Koornwinder, P. Nevai and D. Stanton, in “q-Series From a Contemporary Perspective,” Contemporary Mathematics, vol. 254, M.E.H. Ismail and D. Stanton (eds.), American Mathematical Society, Providence, RI, 2000, pp. 1-18.

  159. Addition theorems for q-exponential functions, joint with D. Stanton, in "q-Series From a Contemporary Perspective," Contemporary Mathematics, vol. 254, M.E.H. Ismail and D. Stanton (eds.), American Mathematical Society, Providence, 2000, pp. 235-245.

  160. More on electrostatic models for zeros of orthogonal polynomials, J. Nonlinear Functional Analysis and Optimization 21 (2000), 191-204.

  161. Complete monotonicity and diesel fuel spray, joint with A.Z. Grinshpan and D. Milligan, Math. Intelligencer 22 (2000), pp. 43-53.

  162. An extremal problem for generalized Jacobi polynomials, in "Proc. of the Mathematics Conference, Birzeit University," S. Elaydi, et al. (eds.), World Scientific, 2000, pp. 139-145.

  163. Algebraic evaluations of some symmetric Euler integrals, duplication formulas for Appell's F1, and Brownian variations, joint with J. Pitman, Canadian J. Math. 52 (2000), 961-981.

  164. Change of basis in Bailey pairs, joint with D. Bressoud and D. Stanton, Ramanujan Journal 4 (2000), 435-453.

  165. The spectrum of an integral operator on weighted L2 space, joint with P. Simeonov, Pacific J. Math. 198 (2000), 443-476.

  166. Discriminants and functional equations for polynomials orthogonal on the unit circle, joint with N. Witte, J. Approx. Theory 110 (2001), 200-228.

  167. Ted Chihara and his work on orthogonal polynomials, joint with R. Askey and W. Van Assche, J. Comp. Appl. Math. (2001), to appear.

  168. Functional equations and electrostatic models for orthogonal polynomials, in “Random Matrix Models and Their Applications,” P. Bleher and A. Its. (eds.), Proc. MSRI Symposium on Random Matrices, Cambridge University Press, 2001, pp. 225-244.

  169. Small eigenvalues of large Hankel matrices: the indeterminate case, joint with C. Berg and Y. Chen, Math. Scand., to appear.

  170. Difference equations and quantized discriminants for q-orthogonal polynomials, Advances in Applied Mathematics, to appear.

  171. q-Discriminants and Vertex Operators, joint with N. Jing, submitted.

  172. q-Random matrix ensembles, joint with Y. Chen and K. Muttalib, in “Proceedings of the Gainesville conference on q-series, physics, and symbolic algebra,” Kluwer, 2001, to appear.

  173. Some orthogonal polynomials related to elliptic functions, joint with G. Valent and G. Yoon, submitted.

  174. Bethe ansatz and q-Sturm-Liouville problems, joint with S. Li and S. Roan, J. Phys. A, submitted.

  175. Application of upper and lower bounds for the domination number to Vizing's conjecture, joint with W.E. Clark and S. Suen, submitted.

  176. Inequalities involving Gamma and Psi functions, joint with W.E. Clark, submitted.

  177. Lectures on q-orthogonal polynomials, in “Special Functions 2000,” J. Bustoz, M.E.H. Ismail, and S.K. Suslov (eds.), Kluwer, Dorchester, 2001, to appear.

  178. A fourth order q-difference equation for associated discrete q-orthogonal polynomials, joint with P. Simeonov, Rocky Mountain J. Math., to appear.

  179. An inverse to the Askey-Wilson operator, joint with M. Rahman, Rocky Mountain J. Math., to appear.

  180. An operator calculus for the Askey-Wilson operator, Ann. Combinatorics, submitted.

  181. Orthogonality and completeness of Fourier type systems, Z. Anal. Anwendungen, to appear.

  182. q-integral and moment representations for q-orthogonal polynomials, joint with D. Stanton, Canadian J. Math., to appear.

  183. Inverse operators, q-fractional integrals and q-Bernoulli polynomials, joint with M. Rahman, submitted.

  184. Some properties of Jackson's third q-Bessel function, preprint.

Invited Papers:

Papers #33, 71, 73, 76, 81, 88, 109, 116, 118, 124, 126, 130, 134, 138, 144, 145, 151, 155, 158, 162, 167 and 168 are invited papers and addresses. Paper #76 was for a three-hour special presentation at a conference.

Additional Publications:

  1. Preface (Dedication) to the Askey-Olver special issue of SIAM Journal on Mathematical Analysis, joint with G. Andrews, G. Gasper and P. Nevai, SIAM J. Math. Anal. 25 (2) (1994), vi-ix.

  2. Preface to Mathematical Analysis, Wavelets and Signal Processing, joint with M.Z. Nashed, A. Zayed and A.F. Ghaleb, Contemporary Mathematics, Volume 190, American Mathematical Society, Providence, 1995, ix-x.

  3. Preface to Special Functions, q-Series and Related Topics, joint with D.R. Masson and M. Rahman, Fields Institute Communications, Volume 14, American Mathematical Society, Providence, 1997.

  4. Preface to a special issue on q-series, Journal of Computational and Applied Mathematics, joint with D.R. Masson, J. Comp. Appl. Math. 68 (1996), 1-2.

  5. Dedication for special issues (dedicated to Richard Askey), joint with D. Stanton, Methods and Applications of Analysis 6 (1999), 1-2.

  6. Waleed Al-Salam, 1926-1996, in “Algebraic Methods and q-Special Functions,” P. Van Diejen and L. Vinet (eds.), American Mathematical Society, Providence, 1999, pp. ix-xi.

  7. Preface to “q-Series From a Contemporary Perspective,” Contemporary Mathematics, volume 254, American Mathematical Society, Providence, 2000, pp. ix-x.

Solutions to Problems:

  1. Solution to Problem 75-3, SIAM Rev. 18 (1976), 302.

  2. Solution to Problem 77-2, SIAM Rev. 20 (1978), 187-188.

  3. Solution to Problem 95-7, SIAM Rev. 38 (1996), 324.

Book Reviews:

  1. The Bessel Polynomials, by E. Grosswald, in: Mathematical Reviews 80 (1980) 80i:33013.

  2. The H-Function with Applications in Statistics and Other Disciplines, by A.M. Mathai and R.K. Saxena, in: Canadian J. Statistics 8 (1980), pp. 143-145.

  3. Special Functions in Queueing Theory, by H.M. Srivastava and R.K. Kashyap, in: SIAM Review 25 (1983), pp. 582-585.

  4. q-Hypergeometric Functions and Applications, by H. Exton, in: SIAM Review 27 (1985), pp. 279-281.

Unpublished Technical Reports:

  1. On some r-semiorthogonal polynomials, MRC Technical Summary Report 1487, November 1974, 7 pages.

  2. A derangement problem, MRC Technical Summary Report 1522, June 1975, 11 pages.

  3. A combinatorial sum, MRC Technical Summary Report 1557, July 1975, 10 pages.