q-Analogues of Some Multivariable Biorthogonal Polynomials
Classical Analysis and ODEs
2007-05-23 v1
Abstract
A q-analogue a pair of multivariable biorthogonal polynomials found by M.V.Tratnik in 1989 is derived. The weight function is a product of a multivariable version of the integrand in the Askey-Roy integral and of the Askey-Wilson weight function in a single variable. In addition, a biorthogonality relation is derived for certain bivariate extensions of the -Racah polynomials.
Keywords
Cite
@article{arxiv.math/0410248,
title = {q-Analogues of Some Multivariable Biorthogonal Polynomials},
author = {George Gasper and Mizan Rahman},
journal= {arXiv preprint arXiv:math/0410248},
year = {2007}
}
Comments
16 pages. To appear in Theory and Applications of Special Functions. A volume dedicated to Mizan Rahman, M. E. H. Ismail and E. Koelink, eds., Dev. Math., Kluwer Acad. Publ., Dordrecht