Quadratic q-exponentials and connection coefficient problems

Authors
Ismail, MEH Rahman, M Stanton, D
Citation
Meh. Ismail et al., Quadratic q-exponentials and connection coefficient problems, P AM MATH S, 127(10), 1999, pp. 2931-2941
Citations number
19
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
10
Year of publication
1999
Pages
2931 - 2941
Database
ISI
SICI code
0002-9939(199910)127:10<2931:QQACCP>2.0.ZU;2-2
Abstract
We establish expansion formulas of q-exponential functions in terms of cont inuous q-ultraspherical polynomials, continuous q-Hermite polynomials and A skey-Wilson polynomials. The proofs are based on solving connection coeffic ient problems.