q-Analogues of Some Multivariable Biorthogonal Polynomials

Details q-Analogues of Some Multivariable Biorthogonal Polynomials q-Analogues of Some Multivariable Biorthogonal Polynomials

2004-10-10

arxiv.org/abs/math/0410248v1

Mathematics

Classical Analysis and ODEs

16 pages. To appear in Theory and Applications of Special Functions. A volume dedicated to Mizan Rahman, M. E. H. Ismail and E

Scientific paper

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 $q$-Racah polynomials.

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