𝑞-special functions, a tutorial

H.T. Koelink, Tom H. Koornwinder

Type: Other

Publication Date: 1992-01-01

Citations: 95

DOI: https://doi.org/10.1090/conm/134/1187285

Abstract

A tutorial introduction is given to q-special functions and to q-analogues of the classical orthogonal polynomials, up to the level of Askey-Wilson polynomials.

Locations

Contemporary mathematics - American Mathematical Society - View
arXiv (Cornell University) - View - PDF
Data Archiving and Networked Services (DANS) - View - PDF

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Works Cited by This (18)

Action	Title	Year	Authors
+	A generalization of ultraspherical polynomials	1983	Richard Askey Mourad E. H. Ismail
+	Enumeration of Partitions: The Role of Eulerian Series and q-Orthogonal Polynomials	1977	George E. Andrews Richard Askey
+ PDF Chat	Connection problem in holonomic<i>q</i>-difference system associated with a Jackson integral of Jordan-Pochhammer type	1989	Katsuhisa Mimachi
+	Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group	1993	Tom H. Koornwinder
+ PDF Chat	Symmetry techniques for $q$-series: Askey-Wilson polynomials	1989	E. G. Kalnins Willard Miller
+	Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials	1985	Richard Askey James Wilson
+ PDF Chat	Quadratic transformation formulas for basic hypergeometric series	1993	Mizan Rahman Arun Verma
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman
+	Asymptotics and Special Functions	1997	F. W. J. Olver
+	The q-analogue of the Laguerre polynomials	1981	Daniel S. Moak