Some orthogonal very well poised 8φ7-functions

Journal of Physics A: Mathematical and General

Volumn 30, Issue 16, 1997, Pages 5877-5885

  Suslov, Sergei K ^a,b  

^a KURCHATOV INSTITUTE   (Russian Federation)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041157559     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/16/027     Document Type: Article

References (22)

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2. Askey R A 1996 Private communication
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4. Askey R A and Wilson J A 1985 Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials Memoirs Amer. Math. Soc. 319
5. Atakishiyev N M, Rahman M and Suslov S K 1995 On the classical orthogonal polynomials Constr. Approx. 11 181-226
6. Atakishiyev N M and Suslov S K 1992 Difference hypergeometric functions Progress in Approximation Theory: An International Perspective (Springer Series in Computational Mathematics 19) ed A A Gonchar and E B Saff (Berlin: Springer) pp 1-35
7. Atakishiyev N M and Suslov S K 1992 On the Askey-Wilson polynomials Constr. Approx. 8 363-9.
8. Brown B M, Evans W D and Ismail M E H 1996 The Askey-Wilson polynomials and q-Sturm-Liouville problems Math. Proc. Cambridge Phil. Soc. 119 1-16
9. Bustoz J and Suslov S K 1997 Basic analogue of Fourier series on a q-quadratic grid Preprint Mathematical Sciences Research Institute 1997-060 Berkeley, CA, 1-42; see also http://www.msri.org/MSRI-preprints/online/1997-060.html
10. Gasper G and Rahman M 1990 Basic Hypergeometric Series (Cambridge: Cambridge University Press)
11. Ismail M E H, Masson D R and Suslov S K 1997 Some generating functions for q-polynomials Special Functions, q-Series and Related Topics (Fields Institute Communications 14) ed M E H Ismail, D R Masson and M Rahman (Providence, RI: American Mathematical Society) pp 91-108
12. Ismail M E H, Masson D R and Suslov S K The q-Bessel Functions on a q-quadratic Grid to appear
13. Ismail M E H, Masson D R and Suslov S K Properties of a q-analogue of Bessel functions to appear
14. Ismail M E H and Rahman M 1991 The associated Askey-Wilson polynomials Trans. Amer. Math. Soc. 328 201-37
15. Koekoek R and Swarttouw R F 1994 The Askey Scheme of Hypergeometric Orthogonal Polynomials and its q-Analogues Report 94-05 Delft University of Technology
16. Nikiforov A F, Suslov S K and Uvarov V B 1985 Classical Orthogonal Polynomials of a Discrete Variable Moscow: Nauka (in Russian) (Engl. transl. 1991 Berlin: Springer)
17. Rahman M A q-extension of a Product Formula of Watson to appear
18. Rahman M and Suslov S K 1994 The Pearson equation and beta integrals SIAM J. Math. Anal. 25 646-93
19. Rahman M and Suslov S K 1994 Barnes and Ramanujan-type integrals on the q-linear lattice SIAM J. Math. Anal. 25 1002-22
20. Suslov S K 1989 The theory of difference analogues of special functions of hypergeometric type Russ. Math. Surv. 44 227-78
21. 7-functions that generalize Askey-Wilson polynomials Preprint Mathematical Sciences Research Institute 1997-070, Berkeley, CA; see also http://www.msri.org/MSRI-preprints/online/1997-070.html
22. Watson G N 1944 A Treatise on the Theory of Bessel Functions 2nd edn (Cambridge: Cambridge University Press)