Bivariate Knop-Sahi and Macdonald polynomials related to q-ultraspherical functions
نویسنده
چکیده
ABSTRACT: Knop and Sahi introduced a family of non-homogeneous and nonsymmetric polynomials, Gα(x; q, t), indexed by compositions. An explicit formula for the bivariate Knop-Sahi polynomials reveals a connection between these polynomials and q-special functions. In particular, relations among the q-ultraspherical polynomials of Askey and Ismail, the two variable symmetric and non-symmetric Macdonald polynomials, and the bivariate Knop-Sahi polynomials are explicitly determined using the theory of basic hypergeometric series.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 217 شماره
صفحات -
تاریخ انتشار 2000