Title

Expansions in the Askey-Wilson polynomials

Authors

Authors

M. E. H. Ismail;D. Stanton

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Math. Anal. Appl.

Keywords

Andrews formula; Askey-Wilson polynomials; Basic hypergeometric series; Generating functions; Expansion formulas; INTEGRAL-OPERATORS; DIAGONALIZATION; Mathematics, Applied; Mathematics

Abstract

We give a general expansion formula of functions in the Askey-Wilson polynomials and using Askey-Wilson orthogonality we evaluate several integrals. Moreover we give a general expansion formula of functions in polynomials of Askey-Wilson type, which are not necessarily orthogonal. Limiting cases give expansions in little and big q-Jacobi type polynomials. We also give a new generating function for Askey-Wilson polynomials and a new evaluation for specialized Askey-Wilson polynomials. (C) 2014 Elsevier Inc. All rights reserved.

Journal Title

Journal of Mathematical Analysis and Applications

Volume

424

Issue/Number

1

Publication Date

1-1-2015

Document Type

Article

DOI Link

http://dx.doi.org/10.1016/j.jmaa.2014.11.048

Language

English

First Page

664

Last Page

674

WOS Identifier

WOS:000348488700039

ISSN

0022-247X

Recommended Citation

"Expansions in the Askey-Wilson polynomials" (2015). Faculty Bibliography 2010s. 6595.
https://stars.library.ucf.edu/facultybib2010/6595