Brown, Gavin; Koumandos, Stamatis; Wang, Kunyang Positivity of more Jacobi polynomial sums. (English) Zbl 0847.33006 Math. Proc. Camb. Philos. Soc. 119, No. 4, 681-694 (1996). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Brown} et al., Math. Proc. Camb. Philos. Soc. 119, No. 4, 681--694 (1996; Zbl 0847.33006) Full Text: DOI
de Médicis, A.; Stanton, D. Combinatorial orthogonal expansions. (English) Zbl 0876.42015 Proc. Am. Math. Soc. 124, No. 2, 469-473 (1996). Reviewer: R.Askey (Madison) MSC: 42C05 05E35 PDFBibTeX XMLCite \textit{A. de Médicis} and \textit{D. Stanton}, Proc. Am. Math. Soc. 124, No. 2, 469--473 (1996; Zbl 0876.42015) Full Text: DOI arXiv
Szwarc, Ryszard Nonnegative linearization of orthogonal polynomials. (English) Zbl 0854.33016 Colloq. Math. 69, No. 2, 309-316 (1995). Reviewer: R.Askey (Madison) MSC: 33D45 42C05 39A10 34C10 33C45 PDFBibTeX XMLCite \textit{R. Szwarc}, Colloq. Math. 69, No. 2, 309--316 (1995; Zbl 0854.33016) Full Text: DOI EuDML
Al-Salam, Waleed A. A characterization of the Rogers \(q\)-Hermite polynomials. (English) Zbl 0835.33012 Int. J. Math. Math. Sci. 18, No. 4, 641-647 (1995). Reviewer: R.Askey (Madison) MSC: 33D70 33D05 42A65 PDFBibTeX XMLCite \textit{W. A. Al-Salam}, Int. J. Math. Math. Sci. 18, No. 4, 641--647 (1995; Zbl 0835.33012) Full Text: DOI arXiv EuDML Link
Joó, I. On Hermite functions. II. (English) Zbl 0844.41001 Acta Math. Hung. 68, No. 1-2, 111-116 (1995). Reviewer: R.Askey (Madison) MSC: 41A05 33C45 42C05 PDFBibTeX XMLCite \textit{I. Joó}, Acta Math. Hung. 68, No. 1--2, 111--116 (1995; Zbl 0844.41001) Full Text: DOI
Koelink, H. T. Identities for \(q\)-ultraspherical polynomials and Jacobi functions. (English) Zbl 0828.33014 Proc. Am. Math. Soc. 123, No. 8, 2479-2487 (1995). Reviewer: R.Askey (Madison) MSC: 33D70 33C45 33D80 PDFBibTeX XMLCite \textit{H. T. Koelink}, Proc. Am. Math. Soc. 123, No. 8, 2479--2487 (1995; Zbl 0828.33014) Full Text: DOI
Brown, B. Malcolm; Ismail, Mourad E. H. A right inverse of the Askey-Wilson operator. (English) Zbl 0828.33013 Proc. Am. Math. Soc. 123, No. 7, 2071-2079 (1995). Reviewer: R.Askey (Madison) MSC: 33D45 42C10 45E10 PDFBibTeX XMLCite \textit{B. M. Brown} and \textit{M. E. H. Ismail}, Proc. Am. Math. Soc. 123, No. 7, 2071--2079 (1995; Zbl 0828.33013) Full Text: DOI arXiv
Campigotto, C.; Smirnov, Yu. F.; Enikeev, S. G. \(q\)-analogue of the Krawtchouk and Meixner orthogonal polynomials. (English) Zbl 0824.33011 J. Comput. Appl. Math. 57, No. 1-2, 87-97 (1995). Reviewer: R.Askey (Madison) MSC: 33D45 PDFBibTeX XMLCite \textit{C. Campigotto} et al., J. Comput. Appl. Math. 57, No. 1--2, 87--97 (1995; Zbl 0824.33011) Full Text: DOI
Gupta, Anju A \(q\)-extension of incomplete Gamma function: II. (Some further properties and certain associated functions). (English) Zbl 0858.33012 J. Math. Phys. Sci. 28, No. 6, 271-285 (1994). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XMLCite \textit{A. Gupta}, J. Math. Phys. Sci. 28, No. 6, 271--285 (1994; Zbl 0858.33012)
Bhargava, S.; Adiga, C. A basic bilateral series summation formula and its applications. (English) Zbl 0823.33009 Integral Transforms Spec. Funct. 2, No. 3, 165-184 (1994). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XMLCite \textit{S. Bhargava} and \textit{C. Adiga}, Integral Transforms Spec. Funct. 2, No. 3, 165--184 (1994; Zbl 0823.33009) Full Text: DOI
Atakishiev, N. M.; Nagiev, Sh. M. On the wave functions of a covariant linear oscillator. (English. Russian original) Zbl 0852.33012 Theor. Math. Phys. 98, No. 2, 162-166 (1994); translation from Teor. Mat. Fiz. 98, No. 2, 241-247 (1994). Reviewer: R.Askey (Madison) MSC: 33E99 PDFBibTeX XMLCite \textit{N. M. Atakishiev} and \textit{Sh. M. Nagiev}, Theor. Math. Phys. 98, No. 2, 1 (1994; Zbl 0852.33012); translation from Teor. Mat. Fiz. 98, No. 2, 241--247 (1994) Full Text: DOI
Chu, Wenchang Inversion techniques and combinatorial identities. A unified treatment for the \(_ 7F_ 6\)-series identities. (English) Zbl 0844.33006 Collect. Math. 45, No. 1, 13-43 (1994). Reviewer: R.Askey (Madison) MSC: 33C20 05A19 PDFBibTeX XMLCite \textit{W. Chu}, Collect. Math. 45, No. 1, 13--43 (1994; Zbl 0844.33006) Full Text: EuDML
Ismail, M. E. H.; Masson, D. R. \(q\)-Hermite polynomials, biorthogonal rational functions, and \(q\)-beta integrals. (English) Zbl 0812.33012 Trans. Am. Math. Soc. 346, No. 1, 63-116 (1994). Reviewer: R.Askey (Madison) MSC: 33D45 33D05 42A65 30E05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{D. R. Masson}, Trans. Am. Math. Soc. 346, No. 1, 63--116 (1994; Zbl 0812.33012) Full Text: DOI
Ismail, Mourad E. H.; Zhang, Ruiming Diagonalization of certain integral operators. (English) Zbl 0838.33012 Adv. Math. 109, No. 1, 1-33 (1994). Reviewer: R.Askey (Madison) MSC: 33D20 39A70 33D45 45E10 42C10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{R. Zhang}, Adv. Math. 109, No. 1, 1--33 (1994; Zbl 0838.33012) Full Text: DOI
Milne, S. C. A \(q\)-analog of a Whipple’s transformation for hypergeometric series in \(U(n)\). (English) Zbl 0809.33010 Adv. Math. 108, No. 1, 1-76 (1994). Reviewer: R.Askey (Madison) MSC: 33D45 PDFBibTeX XMLCite \textit{S. C. Milne}, Adv. Math. 108, No. 1, 1--76 (1994; Zbl 0809.33010) Full Text: DOI
Ossicini, A.; Martinelli, M. R.; Rosati, F. Characteristic functions and \(s\)-orthogonal polynomials. (Italian. English summary) Zbl 0812.33002 Rend. Mat. Appl., VII. Ser. 14, No. 2, 355-366 (1994). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ossicini} et al., Rend. Mat. Appl., VII. Ser. 14, No. 2, 355--366 (1994; Zbl 0812.33002)
Olde Daalhuis, A. B. Asymptotic expansions for \(q\)-gamma, \(q\)-exponential, and \(q\)-Bessel functions. (English) Zbl 0809.33008 J. Math. Anal. Appl. 186, No. 3, 896-913 (1994). Reviewer: R.Askey (Madison) MSC: 33D05 33D15 PDFBibTeX XMLCite \textit{A. B. Olde Daalhuis}, J. Math. Anal. Appl. 186, No. 3, 896--913 (1994; Zbl 0809.33008) Full Text: DOI
Fischer, Ismor A Rodrigues-type formula for the \(q\)-Racah polynomials and some related results. (English) Zbl 0809.33011 Abikoff, William (ed.) et al., The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Providence, RI: American Mathematical Society. Contemp. Math. 169, 253-259 (1994). Reviewer: R.Askey (Madison) MSC: 33D45 PDFBibTeX XMLCite \textit{I. Fischer}, Contemp. Math. 169, 253--259 (1994; Zbl 0809.33011)
Rahman, Mizan; Suslov, Sergej K. Barnes and Ramanujan-type integrals on the \(q\)-linear lattice. (English) Zbl 0809.33007 SIAM J. Math. Anal. 25, No. 3, 1002-1022 (1994). Reviewer: R.Askey (Madison) MSC: 33D05 33B10 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{S. K. Suslov}, SIAM J. Math. Anal. 25, No. 3, 1002--1022 (1994; Zbl 0809.33007) Full Text: DOI
Evans, James D.; Roberson, Thomas L. Applications of complex variable residue theory for evaluating irrational definite integrals. IV. (English) Zbl 0808.33011 Appl. Math. Comput. 63, No. 1, 35-57 (1994). Reviewer: R.Askey (Madison) MSC: 33C75 65A05 65D20 PDFBibTeX XMLCite \textit{J. D. Evans} and \textit{T. L. Roberson}, Appl. Math. Comput. 63, No. 1, 35--57 (1994; Zbl 0808.33011) Full Text: DOI
Chu, Wenchang Inversion techniques and combinatorial identities – strange evaluations of basic hypergeometric series. (English) Zbl 0807.33014 Compos. Math. 91, No. 2, 121-144 (1994). Reviewer: R.Askey (Madison) MSC: 33D20 05A19 PDFBibTeX XMLCite \textit{W. Chu}, Compos. Math. 91, No. 2, 121--144 (1994; Zbl 0807.33014) Full Text: Numdam EuDML
Bonan-Hamada, Catherine M.; Jones, William B.; Thron, W. J.; Magnus, Arne Discrete distribution functions for log-normal moments. (English) Zbl 0824.33010 Cooper, Clement S. (ed.) et al., Continued fractions and orthogonal functions: theory and applications. Proceedings, 4th workshop, held in Loen, Norway, June 21 - July 4, 1992. Basel: Dekker. Lect. Notes Pure Appl. Math. 154, 1-21 (1994). Reviewer: R.Askey (Madison) MSC: 33D45 60E05 60E99 PDFBibTeX XMLCite \textit{C. M. Bonan-Hamada} et al., Lect. Notes Pure Appl. Math. 154, 1--21 (1994; Zbl 0824.33010)
Rahman, Mizan; Suslov, Sergei K. The Pearson equation and the beta integrals. (English) Zbl 0808.33002 SIAM J. Math. Anal. 25, No. 2, 646-693 (1994). Reviewer: R.Askey (Madison) MSC: 33B15 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{S. K. Suslov}, SIAM J. Math. Anal. 25, No. 2, 646--693 (1994; Zbl 0808.33002) Full Text: DOI
Ismail, Mourad E. H. Asymptotics of Pollaczek polynomials and their zeros. (English) Zbl 0805.33005 SIAM J. Math. Anal. 25, No. 2, 462-473 (1994). Reviewer: R.Askey (Madison) MSC: 33C45 30E15 41A60 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, SIAM J. Math. Anal. 25, No. 2, 462--473 (1994; Zbl 0805.33005) Full Text: DOI
Charris, Jairo A.; Ismail, Mourad E. H.; Monsalve, Sergio On sieved orthogonal polynomials. X: General blocks of recurrence relations. (English) Zbl 0805.33006 Pac. J. Math. 163, No. 2, 237-267 (1994). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{J. A. Charris} et al., Pac. J. Math. 163, No. 2, 237--267 (1994; Zbl 0805.33006) Full Text: DOI
Singh, U. B. A note on a transformation of Bailey. (English) Zbl 0798.33011 Q. J. Math., Oxf. II. Ser. 45, No. 177, 111-116 (1994). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XMLCite \textit{U. B. Singh}, Q. J. Math., Oxf. II. Ser. 45, No. 177, 111--116 (1994; Zbl 0798.33011) Full Text: DOI
Häcker, Steffen Polynomial eigenvalue problems of second order with Hahn \(q\)-operators. (Polynomiale Eigenwertprobleme zweiter Ordnung mit Hahnschen \(q\)-Operatoren.) (German) Zbl 0859.33018 Stuttgart: Univ. Stuttgart, 101 S. (1993). Reviewer: R.Askey (Madison) MSC: 33D45 PDFBibTeX XMLCite \textit{S. Häcker}, Polynomiale Eigenwertprobleme zweiter Ordnung mit Hahnschen \(q\)-Operatoren. Stuttgart: Univ. Stuttgart (1993; Zbl 0859.33018)
Grosjean, Carl C. On the detection and calculation of some remarkable integrals and related expressions involving classical orthogonal polynomials. II. (English) Zbl 0808.33004 Simon Stevin 67, No. 1-2, 49-106 (1993). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{C. C. Grosjean}, Simon Stevin 67, No. 1--2, 49--106 (1993; Zbl 0808.33004)
Gupta, Anju On certain Ramanujan’s mock theta functions. (English) Zbl 0799.33014 Proc. Indian Acad. Sci., Math. Sci. 103, No. 3, 257-267 (1993). Reviewer: R.Askey (Madison) MSC: 33D20 PDFBibTeX XMLCite \textit{A. Gupta}, Proc. Indian Acad. Sci., Math. Sci. 103, No. 3, 257--267 (1993; Zbl 0799.33014) Full Text: DOI
Gosper, R. William; Ismail, Mourad E. H.; Zhang, Ruiming On some strange summation formulas. (English) Zbl 0793.33016 Ill. J. Math. 37, No. 2, 240-277 (1993). Reviewer: R.Askey (Madison) MSC: 33E99 33C10 PDFBibTeX XMLCite \textit{R. W. Gosper} et al., Ill. J. Math. 37, No. 2, 240--277 (1993; Zbl 0793.33016)
Askey, Richard Problems which interest and/or annoy me. (English) Zbl 0797.33006 J. Comput. Appl. Math. 48, No. 1-2, 3-15 (1993). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{R. Askey}, J. Comput. Appl. Math. 48, No. 1--2, 3--15 (1993; Zbl 0797.33006) Full Text: DOI
Charris, Jairo A.; Ismail, Mourad E. H. Sieved orthogonal polynomials. VII: Generalized polynomial mappings. (English) Zbl 0790.33007 Trans. Am. Math. Soc. 340, No. 1, 71-93 (1993). Reviewer: R.Askey (Madison) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{J. A. Charris} and \textit{M. E. H. Ismail}, Trans. Am. Math. Soc. 340, No. 1, 71--93 (1993; Zbl 0790.33007) Full Text: DOI
Kaneko, Jyoichi Selberg integrals and hypergeometric functions associated with Jack polynomials. (English) Zbl 0783.33008 SIAM J. Math. Anal. 24, No. 4, 1086-1110 (1993). Reviewer: R.Askey (Madison) MSC: 33C50 PDFBibTeX XMLCite \textit{J. Kaneko}, SIAM J. Math. Anal. 24, No. 4, 1086--1110 (1993; Zbl 0783.33008) Full Text: DOI
Ekhad, Shalosh B. A short, elementary, and easy, WZ proof of the Askey-Gasper inequality that was used by de Branges in his proof of the Bieberbach conjecture. (English) Zbl 0780.33004 Theor. Comput. Sci. 117, No. 1-2, 199-202 (1993). Reviewer: R.Askey (Madison) MSC: 33C20 PDFBibTeX XMLCite \textit{S. B. Ekhad}, Theor. Comput. Sci. 117, No. 1--2, 199--202 (1993; Zbl 0780.33004) Full Text: DOI
Chihara, Laura M. Askey-Wilson polynomials, kernel polynomials and association schemes. (English) Zbl 0782.05090 Graphs Comb. 9, No. 3, 213-223 (1993). Reviewer: R.Askey (Madison) MSC: 05E30 05E35 33D45 PDFBibTeX XMLCite \textit{L. M. Chihara}, Graphs Comb. 9, No. 3, 213--223 (1993; Zbl 0782.05090) Full Text: DOI
Evans, Ronald J.; Stolarsky, Kenneth B.; Wavrik, John J. Difference polynomials. (English) Zbl 0809.39008 Knopp, Marvin (ed.) et al., A tribute to Emil Grosswald: number theory and related analysis. Providence, RI: American Mathematical Society. Contemp. Math. 143, 329-346 (1993). Reviewer: R.Askey (Madison) MSC: 39A10 11B73 PDFBibTeX XMLCite \textit{R. J. Evans} et al., Contemp. Math. 143, 329--346 (1993; Zbl 0809.39008)
Koelink, H. T. Hansen-Lommel orthogonality relations for Jackson’s \(q\)-Bessel functions. (English) Zbl 0777.33010 J. Math. Anal. Appl. 175, No. 2, 425-437 (1993). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XMLCite \textit{H. T. Koelink}, J. Math. Anal. Appl. 175, No. 2, 425--437 (1993; Zbl 0777.33010) Full Text: DOI
Zhang, Liang-Chen Ramanujan’s continued fraction for products of gamma functions. (English) Zbl 0773.33008 J. Math. Anal. Appl. 174, No. 1, 22-52 (1993). Reviewer: R.Askey (Madison) MSC: 33C50 PDFBibTeX XMLCite \textit{L.-C. Zhang}, J. Math. Anal. Appl. 174, No. 1, 22--52 (1993; Zbl 0773.33008) Full Text: DOI
Markett, Clemens The product formula and convolution structure associated with the generalized Hermite polynomials. (English) Zbl 0777.33001 J. Approximation Theory 73, No. 2, 199-217 (1993). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{C. Markett}, J. Approx. Theory 73, No. 2, 199--217 (1993; Zbl 0777.33001) Full Text: DOI
Kadell, Kevin W. J. An integral for the product of two Selberg-Jack symmetric polynomials. (English) Zbl 0788.33007 Compos. Math. 87, No. 1, 5-43 (1993). Reviewer: R.Askey (Madison) MSC: 33C70 PDFBibTeX XMLCite \textit{K. W. J. Kadell}, Compos. Math. 87, No. 1, 5--43 (1993; Zbl 0788.33007) Full Text: Numdam EuDML
Swarttouw, René F. An addition theorem and some product formulas for the Hahn-Exton \(q\)- Bessel functions. (English) Zbl 0759.33008 Can. J. Math. 44, No. 4, 867-879 (1992). Reviewer: R.Askey (Madison) MSC: 33D15 33D70 PDFBibTeX XMLCite \textit{R. F. Swarttouw}, Can. J. Math. 44, No. 4, 867--879 (1992; Zbl 0759.33008) Full Text: DOI
Badertscher, Erich; Koornwinder, Tom H. Continuous Hahn polynomials of differential operator argument and analysis on Riemannian symmetric spaces of constant curvature. (English) Zbl 0759.33006 Can. J. Math. 44, No. 4, 750-773 (1992). Reviewer: R.Askey (Madison) MSC: 33C80 33C50 PDFBibTeX XMLCite \textit{E. Badertscher} and \textit{T. H. Koornwinder}, Can. J. Math. 44, No. 4, 750--773 (1992; Zbl 0759.33006) Full Text: DOI
Andrews, George E.; Berndt, Bruce C.; Jacobsen, Lisa; Lamphere, Robert L. The continued fractions found in the unorganized portions of Ramanujan’s notebooks. (English) Zbl 0758.40001 Mem. Am. Math. Soc. 99, No. 477, 71 p. (1992). Reviewer: R.Askey (Madison) MSC: 40A15 33C20 30B70 33D15 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., The continued fractions found in the unorganized portions of Ramanujan's notebooks. Providence, RI: American Mathematical Society (AMS) (1992; Zbl 0758.40001) Full Text: DOI
Ossicini, A.; Rosati, F. \(S\)-orthogonal Jacobi polynomials. (Italian. English summary) Zbl 0765.33007 Rend. Mat. Appl., VII. Ser. 12, No. 2, 399-403 (1992). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ossicini} and \textit{F. Rosati}, Rend. Mat. Appl., VII. Ser. 12, No. 2, 399--403 (1992; Zbl 0765.33007)
Martinelli, M. R.; Ossicini, A.; Rosati, F. Density of the zeros of a system of \(s\)-orthogonal polynomials. (Italian. English summary) Zbl 0764.33005 Rend. Mat. Appl., VII. Ser. 12, No. 1, 235-249 (1992). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{M. R. Martinelli} et al., Rend. Mat. Appl., VII. Ser. 12, No. 1, 235--249 (1992; Zbl 0764.33005)
Koornwinder, Tom H.; Swarttouw, René F. On \(q\)-analogues of the Fourier and Hankel transforms. (English) Zbl 0759.33007 Trans. Am. Math. Soc. 333, No. 1, 445-461 (1992). Reviewer: R.Askey (Madison) MSC: 33D15 42A38 42C05 PDFBibTeX XMLCite \textit{T. H. Koornwinder} and \textit{R. F. Swarttouw}, Trans. Am. Math. Soc. 333, No. 1, 445--461 (1992; Zbl 0759.33007) Full Text: DOI arXiv
Bochner, Salomon Collected papers of Salomon Bochner. Part 1-4. Edited by Robert C. Gunning. (English, German) Zbl 0755.01047 Providence, RI: American Mathematical Society (AMS). xxiv, 762 p./pt.1; xxiv, 790 p./pt. 2; xxiv, 732 p./pt.3; xxii, 446 p./pt.4 (1992). Reviewer: R.Askey (Madison) MSC: 01A75 01A60 01A70 00B60 PDFBibTeX XMLCite \textit{S. Bochner}, Collected papers of Salomon Bochner. Part 1-4. Edited by Robert C. Gunning. Providence, RI: American Mathematical Society (1992; Zbl 0755.01047)
Lassalle, Michel Mactrice de Hua et polynômes de Jack. (French) Zbl 0799.33011 Richards, Donald St. P. (ed.), Hypergeometric functions on domains of positivity, Jack polynomials, and applications. Proceedings of an AMS special session held March 22-23, 1991 in Tampa, FL, USA. Providence, RI: American Mathematical Society. Contemp. Math. 138, 223-237 (1992). Reviewer: R.Askey (Madison) MSC: 33C80 33C70 PDFBibTeX XMLCite \textit{M. Lassalle}, Contemp. Math. 138, 223--237 (1992; Zbl 0799.33011)
Raina, R. K. Determination of coefficients of power series representation of certain rational functions. (English) Zbl 0779.33005 Simon Stevin 66, No. 1-2, 129-138 (1992). Reviewer: R.Askey (Madison) MSC: 33C20 PDFBibTeX XMLCite \textit{R. K. Raina}, Simon Stevin 66, No. 1--2, 129--138 (1992; Zbl 0779.33005)
Charris, Jairo A.; Gómez, Claudia P.; Rodríguez-Blanco, Guillermo On two systems of orthogonal polynomials related to the Pollaczek polynomials. (English) Zbl 0777.33005 Rev. Colomb. Mat. 26, No. 1-4, 101-146 (1992). Reviewer: R.Askey (Madison) MSC: 33C50 PDFBibTeX XMLCite \textit{J. A. Charris} et al., Rev. Colomb. Mat. 26, No. 1--4, 101--146 (1992; Zbl 0777.33005) Full Text: EuDML
Milne, S. C. Summation theorems for basic hypergeometric series of Schur function argument. (English) Zbl 0788.33010 Gonchar, A. A. (ed.) et al., Progress in approximation theory. An international perspective. Proceedings of the international conference on approximation theory, Tampa, South Florida, USA, March 19-22, 1990. New York: Springer-Verlag. Springer Ser. Comput. Math. 19, 51-77 (1992). Reviewer: R.Askey (Madison) MSC: 33D70 PDFBibTeX XMLCite \textit{S. C. Milne}, Springer Ser. Comput. Math. 19, 51--77 (1992; Zbl 0788.33010)
Koelink, H. T.; Koornwinder, T. H. \(q\)-special functions, a tutorial. (English) Zbl 0768.33018 Deformation theory and quantum groups with applications to mathematical physics, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Amherst/MA (USA) 1990, Contemp. Math. 134, 141-142 (1992). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{T. H. Koornwinder}, Contemp. Math. 134, 141--142 (1992; Zbl 0768.33018)
Koelink, H. T. Quantum group theoretic proof of the addition formula for continuous \(q\)- Legendre polynomials. (English) Zbl 0769.33017 Deformation theory and quantum groups with applications to mathematical physics, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Amherst/MA (USA) 1990, Contemp. Math. 134, 139-140 (1992). Reviewer: R.Askey (Madison) MSC: 33D80 33D45 PDFBibTeX XMLCite \textit{H. T. Koelink}, Contemp. Math. 134, 139--140 (1992; Zbl 0769.33017)
Gustafson, Robert A. Some \(q\)-beta and Mellin-Barnes integrals with many parameters associated to the classical groups. (English) Zbl 0764.33008 SIAM J. Math. Anal. 23, No. 2, 525-551 (1992). Reviewer: R.Askey (Madison) MSC: 33D05 33C70 33C80 PDFBibTeX XMLCite \textit{R. A. Gustafson}, SIAM J. Math. Anal. 23, No. 2, 525--551 (1992; Zbl 0764.33008) Full Text: DOI
Anderson, G. D.; Vamanamurthy, M. K.; Vuorinen, M. Functional inequalities for hypergeometric functions and complete elliptic integrals. (English) Zbl 0764.33009 SIAM J. Math. Anal. 23, No. 2, 512-524 (1992). Reviewer: R.Askey (Madison) MSC: 33E05 33C05 PDFBibTeX XMLCite \textit{G. D. Anderson} et al., SIAM J. Math. Anal. 23, No. 2, 512--524 (1992; Zbl 0764.33009) Full Text: DOI
Floreanini, Roberto; Vinet, Luc Addition formulas for \(q\)-Bessel functions. (English) Zbl 0777.33011 J. Math. Phys. 33, No. 9, 2984-2988 (1992). Reviewer: R.Askey (Madison) MSC: 33D20 PDFBibTeX XMLCite \textit{R. Floreanini} and \textit{L. Vinet}, J. Math. Phys. 33, No. 9, 2984--2988 (1992; Zbl 0777.33011) Full Text: DOI
Ismail, Mourad E. H.; Letessier, Jean; Valent, Galliano; Wimp, Jet Some results on associated Wilson polynomials. (English) Zbl 0834.33007 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 293-298 (1991). Reviewer: R.Askey (Madison) MSC: 33C45 33C20 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., IMACS Ann. Comput. Appl. Math. 9, 293--298 (1991; Zbl 0834.33007)
Rahman, Mizan; Verma, Arun Positivity of the Poisson kernel for the Askey-Wilson polynomials. (English) Zbl 0793.33015 Indian J. Math. 33, No. 3, 287-306 (1991). Reviewer: R.Askey (Madison) MSC: 33D45 42C10 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, Indian J. Math. 33, No. 3, 287--306 (1991; Zbl 0793.33015)
Butzer, P. L.; Hauss, M. Stirling functions of first and second kind; some new applications. (English) Zbl 0809.39009 Baron, S. (ed.) et al., Approximation, interpolation, and summability. In honor of Amnon Jakimovski on his sixty-fifth birthday. Proceedings of an international conference, held at Tel-Aviv University, Tel Aviv and Bar- Ilan University, Ramat-Gan, Israel, June 4-8, 1990. Providence, RI: American Mathematical Society. Isr. Math. Conf. Proc. 4, 89-108 (1991). Reviewer: R.Askey (Madison) MSC: 39A10 11B73 33B15 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{M. Hauss}, Isr. Math. Conf. Proc. 4, 89--108 (1991; Zbl 0809.39009)
Masson, David R. Wilson polynomials and some continued fractions of Ramanujan. (English) Zbl 0733.33012 Rocky Mt. J. Math. 21, No. 1, 489-499 (1991). Reviewer: R.Askey (Madison) MSC: 33C65 PDFBibTeX XMLCite \textit{D. R. Masson}, Rocky Mt. J. Math. 21, No. 1, 489--499 (1991; Zbl 0733.33012) Full Text: DOI
Wilson, James A. Asymptotics for the \({}_ 4F_ 3\) polynomials. (English) Zbl 0729.33006 J. Approximation Theory 66, No. 1, 58-71 (1991). Reviewer: R.Askey (Madison) MSC: 33C45 42A10 PDFBibTeX XMLCite \textit{J. A. Wilson}, J. Approx. Theory 66, No. 1, 58--71 (1991; Zbl 0729.33006) Full Text: DOI
Anderson, Greg W. A short proof of Selberg’s generalized beta formula. (English) Zbl 0723.33002 Forum Math. 3, No. 4, 415-417 (1991). Reviewer: R.Askey (Madison) MSC: 33B15 PDFBibTeX XMLCite \textit{G. W. Anderson}, Forum Math. 3, No. 4, 415--417 (1991; Zbl 0723.33002) Full Text: DOI EuDML
Ismail, Mourad E. H.; Muldoon, Martin E. A discrete approach to monotonicity of zeros of orthogonal polynomials. (English) Zbl 0718.33004 Trans. Am. Math. Soc. 323, No. 1, 65-78 (1991). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{M. E. Muldoon}, Trans. Am. Math. Soc. 323, No. 1, 65--78 (1991; Zbl 0718.33004) Full Text: DOI
Tratnik, M. V. Some multivariable orthogonal polynomials of the Askey tableau-discrete families. (English) Zbl 0742.33007 J. Math. Phys. 32, No. 9, 2337-2342 (1991). Reviewer: R.Askey (Madison) MSC: 33C50 PDFBibTeX XMLCite \textit{M. V. Tratnik}, J. Math. Phys. 32, No. 9, 2337--2342 (1991; Zbl 0742.33007) Full Text: DOI
Tratnik, M. V. Some multivariable orthogonal polynomials of the Askey tableau— Continuous families. (English) Zbl 0746.33007 J. Math. Phys. 32, No. 8, 2065-2073 (1991). Reviewer: R.Askey (Madison) MSC: 33C50 PDFBibTeX XMLCite \textit{M. V. Tratnik}, J. Math. Phys. 32, No. 8, 2065--2073 (1991; Zbl 0746.33007) Full Text: DOI
Koti, Kallappa M. Some inequalities in hypergeometric functions using statistical techniques. (English) Zbl 0742.33003 Indian J. Pure Appl. Math. 22, No. 5, 389-396 (1991). Reviewer: R.Askey (Madison) MSC: 33C05 33C20 PDFBibTeX XMLCite \textit{K. M. Koti}, Indian J. Pure Appl. Math. 22, No. 5, 389--396 (1991; Zbl 0742.33003)
Gupta, Dharma P.; Masson, David R. Exceptional \(q\)-Askey-Wilson polynomials and continued fractions. (English) Zbl 0738.33010 Proc. Am. Math. Soc. 112, No. 3, 717-727 (1991). Reviewer: R.Askey (Madison) MSC: 33D45 PDFBibTeX XMLCite \textit{D. P. Gupta} and \textit{D. R. Masson}, Proc. Am. Math. Soc. 112, No. 3, 717--727 (1991; Zbl 0738.33010) Full Text: DOI
Milovanović, G. V.; Rassias, Th. M. Inequalities connected with trigonometric sums. (English) Zbl 0754.26008 Constantin Carathéodory: an international tribute. Vol. II, 875-941 (1991). Reviewer: R.Askey (Madison) MSC: 26D05 33C45 42A05 26D15 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{Th. M. Rassias}, in: Fixpoint approach in mathematics. . 875--941 (1991; Zbl 0754.26008)
Stolarsky, Kenneth B. Gauss’ gamma multiplication theorem: Analogues and extensions. (English) Zbl 0780.33001 The mathematical heritage of C. F. Gauss, Collect. Pap. Mem. C. F. Gauss, 733-757 (1991). Reviewer: R.Askey (Madison) MSC: 33B15 PDFBibTeX XMLCite \textit{K. B. Stolarsky}, in: The mathematical heritage of C. F. Gauss. A collection of papers in memory of C. F. Gauss. London: World Scientific. 733--757 (1991; Zbl 0780.33001)
Wilson, James A. Orthogonal functions from Gram determinants. (English) Zbl 0742.33008 SIAM J. Math. Anal. 22, No. 4, 1147-1155 (1991). Reviewer: R.Askey (Madison) MSC: 33C50 15A15 PDFBibTeX XMLCite \textit{J. A. Wilson}, SIAM J. Math. Anal. 22, No. 4, 1147--1155 (1991; Zbl 0742.33008) Full Text: DOI
Zeilberger, Doron The method of creative telescoping. (English) Zbl 0738.33002 J. Symb. Comput. 11, No. 3, 195-204 (1991). Reviewer: R.Askey (Madison) MSC: 33C20 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Symb. Comput. 11, No. 3, 195--204 (1991; Zbl 0738.33002) Full Text: DOI
Zeilberger, Doron A holonomic systems approach to special functions identities. (English) Zbl 0738.33001 J. Comput. Appl. Math. 32, No. 3, 321-368 (1990). Reviewer: R.Askey (Madison) MSC: 33C20 PDFBibTeX XMLCite \textit{D. Zeilberger}, J. Comput. Appl. Math. 32, No. 3, 321--368 (1990; Zbl 0738.33001) Full Text: DOI Backlinks: MO
Joó, I. On Hermite-conjugate function. (English) Zbl 0753.42011 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 33, 109-118 (1990). Reviewer: R.Askey (Madison) MSC: 42C10 PDFBibTeX XMLCite \textit{I. Joó}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 33, 109--118 (1990; Zbl 0753.42011)
Zeng, Jiang Linéarisation de produits de polynômes de Meixner, Krawtchouk, et Charlier. (Linearization of products of polynomials of Meixner, Krawtchouk, and Charlier). (French) Zbl 0724.33006 SIAM J. Math. Anal. 21, No. 5, 1349-1368 (1990). Reviewer: R.Askey (Madison) MSC: 33C50 05A19 PDFBibTeX XMLCite \textit{J. Zeng}, SIAM J. Math. Anal. 21, No. 5, 1349--1368 (1990; Zbl 0724.33006) Full Text: DOI
Charris, Jairo A.; Rodriguez-Blanco, Guillermo On systems of orthogonal polynomials with inner and end point masses. (English) Zbl 0724.33005 Rev. Colomb. Mat. 24, No. 3-4, 153-177 (1990). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{J. A. Charris} and \textit{G. Rodriguez-Blanco}, Rev. Colomb. Mat. 24, No. 3--4, 153--177 (1990; Zbl 0724.33005) Full Text: EuDML
Askey, Richard Ramanujan and hypergeometric and basic hypergeometric series. (English. Russian original) Zbl 0722.33009 Russ. Math. Surv. 45, No. 1, 37-86 (1990); translation from Usp. Mat. Nauk 45, No. 1(271), 33-76 (1990). Reviewer: R.Askey MSC: 33C20 33D15 33-03 01A55 01A60 PDFBibTeX XMLCite \textit{R. Askey}, Russ. Math. Surv. 45, No. 1, 37--86 (1990; Zbl 0722.33009); translation from Usp. Mat. Nauk 45, No. 1(271), 33--76 (1990) Full Text: DOI
Kocić, Vlajko Lj. A note on q-gamma function. (English) Zbl 0722.33008 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 1, 31-34 (1990). Reviewer: R.Askey (Madison) MSC: 33D05 PDFBibTeX XMLCite \textit{V. Lj. Kocić}, Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 1, 31--34 (1990; Zbl 0722.33008)
Saxena, R. K.; Kumar, R. Certain finite expansions associated with a basic analogue of the G- function. (English) Zbl 0721.33011 Rev. Téc. Fac. Ing., Univ. Zulia 13, No. 2, 111-116 (1990). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{R. Kumar}, Rev. Téc. Fac. Ing., Univ. Zulia 13, No. 2, 111--116 (1990; Zbl 0721.33011)
Bustoz, Joaquin; Ismail, Mourad E. H.; Wimp, Jet On sieved orthogonal polynomials. VI: Differential equations. (English) Zbl 0719.33005 Differ. Integral Equ. 3, No. 4, 757-766 (1990). Reviewer: R.Askey (Madison) MSC: 33C45 34A05 42C05 PDFBibTeX XMLCite \textit{J. Bustoz} et al., Differ. Integral Equ. 3, No. 4, 757--766 (1990; Zbl 0719.33005)
Almkvist, Gert; Zeilberger, Doron The method of differentiating under the integral sign. (English) Zbl 0717.33004 J. Symb. Comput. 10, No. 6, 571-591 (1990). Reviewer: R.Askey MSC: 33C60 PDFBibTeX XMLCite \textit{G. Almkvist} and \textit{D. Zeilberger}, J. Symb. Comput. 10, No. 6, 571--591 (1990; Zbl 0717.33004) Full Text: DOI
Mazel, David S.; Geronimo, Jeffery S.; Hayes, Monson H. III On the geometric sequences of reflection coefficients. (English) Zbl 0714.33009 IEEE Trans. Acoust. Speech Signal Process. 38, No. 10, 1810-1812 (1990). Reviewer: R.Askey MSC: 33C50 PDFBibTeX XMLCite \textit{D. S. Mazel} et al., IEEE Trans. Acoust. Speech Signal Process. 38, No. 10, 1810--1812 (1990; Zbl 0714.33009) Full Text: DOI
Ekhad, Shalosh B.; Zeilberger, Doron A 21st century proof of Dougall’s hypergeometric sum identity. (English) Zbl 0714.33002 J. Math. Anal. Appl. 147, No. 2, 610-611 (1990). Reviewer: R.Askey MSC: 33C20 PDFBibTeX XMLCite \textit{S. B. Ekhad} and \textit{D. Zeilberger}, J. Math. Anal. Appl. 147, No. 2, 610--611 (1990; Zbl 0714.33002) Full Text: DOI
Wimp, Jet Pollaczek polynomials and Padé approximants: Some closed-form expressions. (English) Zbl 0712.33006 J. Comput. Appl. Math. 32, No. 1-2, 301-310 (1990). Reviewer: R.Askey MSC: 33C45 41A21 PDFBibTeX XMLCite \textit{J. Wimp}, J. Comput. Appl. Math. 32, No. 1--2, 301--310 (1990; Zbl 0712.33006) Full Text: DOI
Ismail, M. E. H.; Letessier, J.; Valent, G.; Wimp, J. Two families of associated Wilson polynomials. (English) Zbl 0712.33005 Can. J. Math. 42, No. 4, 659-695 (1990). Reviewer: R.Askey MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Can. J. Math. 42, No. 4, 659--695 (1990; Zbl 0712.33005) Full Text: DOI
Gasper, George; Rahman, Mizan An indefinite bibasic summation formula and some quadratic, cubic and quartic summation and transformation formulas. (English) Zbl 0707.33009 Can. J. Math. 42, No. 1, 1-27 (1990). Reviewer: R.Askey MSC: 33D65 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{M. Rahman}, Can. J. Math. 42, No. 1, 1--27 (1990; Zbl 0707.33009) Full Text: DOI
Tratnik, M. V. Multivariable biorthogonal continuous-discrete Wilson and Racah polynomials. (English) Zbl 0707.33007 J. Math. Phys. 31, No. 7, 1559-1575 (1990). Reviewer: R.Askey MSC: 33C70 33C45 PDFBibTeX XMLCite \textit{M. V. Tratnik}, J. Math. Phys. 31, No. 7, 1559--1575 (1990; Zbl 0707.33007) Full Text: DOI
Koekoek, Roelof A generalization of Moak’s q-Laguerre polynomials. (English) Zbl 0705.33010 Can. J. Math. 42, No. 2, 280-303 (1990). Reviewer: R.Askey MSC: 33D45 PDFBibTeX XMLCite \textit{R. Koekoek}, Can. J. Math. 42, No. 2, 280--303 (1990; Zbl 0705.33010) Full Text: DOI
Rahman, Mizan Some extensions of the beta integral and the hypergeometric function. (English) Zbl 0703.33009 Orthogonal polynomials: theory and practice, Proc. NATO ASI, Colombus/OH (USA) 1989, NATO ASI Ser., Ser. C 294, 319-344 (1990). Reviewer: R.Askey MSC: 33D20 33D45 33D05 PDFBibTeX XML
Gasper, George Using symbolic computer algebraic systems to derive formulas involving orthogonal polynomials and other special functions. (English) Zbl 0699.33010 Orthogonal polynomials: theory and practice, Proc. NATO ASI, Colombus/HO (USA) 1989, NATO ASI Ser., Ser. C 294, 163-179 (1990). Reviewer: R.Askey MSC: 33C45 33-04 PDFBibTeX XML
Lassalle, Michel Une formule du binôme généralisée pour les polynômes de Jack. (A generalized binomial formula for Jack polynomials). (French) Zbl 0698.33010 C. R. Acad. Sci., Paris, Sér. I 310, No. 5, 253-256 (1990). Reviewer: R.Askey MSC: 33C80 22E30 05A10 PDFBibTeX XMLCite \textit{M. Lassalle}, C. R. Acad. Sci., Paris, Sér. I 310, No. 5, 253--256 (1990; Zbl 0698.33010)
Askey, Richard Relative extrema of Legendre functions of the second kind. (English) Zbl 0698.33006 Proc. Indian Acad. Sci., Math. Sci. 100, No. 1, 1-8 (1990). Reviewer: R.Askey MSC: 33C55 PDFBibTeX XMLCite \textit{R. Askey}, Proc. Indian Acad. Sci., Math. Sci. 100, No. 1, 1--8 (1990; Zbl 0698.33006) Full Text: DOI
Forrester, P. J. Theta function generalizations of some constant term identities in the theory of random matrices. (English) Zbl 0696.33001 SIAM J. Math. Anal. 21, No. 1, 270-280 (1990). Reviewer: R.Askey MSC: 33B15 33E05 60K35 PDFBibTeX XMLCite \textit{P. J. Forrester}, SIAM J. Math. Anal. 21, No. 1, 270--280 (1990; Zbl 0696.33001) Full Text: DOI
Labelle, J.; Yeh, Y. N. Combinatorial proofs of some limit formulas involving orthogonal polynomials. (English) Zbl 0696.05001 Discrete Math. 79, No. 1, 77-93 (1990). Reviewer: R.Askey MSC: 05A05 33B15 PDFBibTeX XMLCite \textit{J. Labelle} and \textit{Y. N. Yeh}, Discrete Math. 79, No. 1, 77--93 (1990; Zbl 0696.05001) Full Text: DOI
Gustafson, Robert A. A generalization of Selberg’s beta integral. (English) Zbl 0693.33001 Bull. Am. Math. Soc., New Ser. 22, No. 1, 97-105 (1990). Reviewer: R.Askey MSC: 33B15 PDFBibTeX XMLCite \textit{R. A. Gustafson}, Bull. Am. Math. Soc., New Ser. 22, No. 1, 97--105 (1990; Zbl 0693.33001) Full Text: DOI
Gustafson, Robert A. A summation theorem for hypergeoemtric series very-well-poised on \(G_ 2\). (English) Zbl 0687.33012 SIAM J. Math. Anal. 21, No. 2, 510-522 (1990). Reviewer: R.Askey MSC: 33C45 PDFBibTeX XMLCite \textit{R. A. Gustafson}, SIAM J. Math. Anal. 21, No. 2, 510--522 (1990; Zbl 0687.33012) Full Text: DOI
Denis, Remy Y. On generalization of Euler’s continued fractions. (English) Zbl 0687.33001 Indian J. Pure Appl. Math. 21, No. 1, 78-81 (1990). Reviewer: R.Askey MSC: 33C05 PDFBibTeX XMLCite \textit{R. Y. Denis}, Indian J. Pure Appl. Math. 21, No. 1, 78--81 (1990; Zbl 0687.33001)
Patil, K. R.; Jagtap, T. B. Note on generating function for the q-Jacobi polynomials. (English) Zbl 0742.33013 Bull. Calcutta Math. Soc. 82, No. 5, 392-394 (1990). Reviewer: R.Askey (Madison) MSC: 33D45 PDFBibTeX XMLCite \textit{K. R. Patil} and \textit{T. B. Jagtap}, Bull. Calcutta Math. Soc. 82, No. 5, 392--394 (1990; Zbl 0742.33013)
Lassalle, Michel Une formule de Pieri pour les polynômes de Jack. (A Pieri formula for Jack polynomials). (French) Zbl 0738.33007 C. R. Acad. Sci., Paris, Sér. I 309, No. 18, 941-944 (1989). Reviewer: R.Askey (Madison) MSC: 33C80 05E05 PDFBibTeX XMLCite \textit{M. Lassalle}, C. R. Acad. Sci., Paris, Sér. I 309, No. 18, 941--944 (1989; Zbl 0738.33007)
Agarwal, R. P. Ramanujan’s life and works - an overview. (English) Zbl 0723.33014 Special functions and problem-oriented research, Proc. Symp., Trivandrum/India 1988, Publ., Cent. Math. Sci., Trivandrum 14, 1-12 (1989). Reviewer: R.Askey (Madison) MSC: 33D15 33C20 01A60 PDFBibTeX XML
Gupta, Mukul Certain generalized basic hypergeometric transformations associated with mock theta functions. (English) Zbl 0719.33012 Special functions and problem-oriented research, Proc. Symp., Trivandrum/India 1988, Publ., Cent. Math. Sci., Trivandrum 14, 73-96 (1989). Reviewer: R.Askey (Madison) MSC: 33D15 PDFBibTeX XML