q-Analogues of Some Multivariable Biorthogonal Polynomials
Abstract
Description
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.
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
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