ar X iv : 0 80 7 . 13 51 v 1 [ m at h . C A ] 8 J ul 2 00 8 NONSYMMETRIC INTERPOLATION MACDONALD POLYNOMIALS AND gl n BASIC HYPERGEOMETRIC SERIES
نویسندگان
چکیده
The Knop–Sahi interpolation Macdonald polynomials are inho-mogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polyno-mials to study a new type of basic hypergeometric series of type gl n. Our main results include a new q-binomial theorem, new q-Gauss sum, and several transformation formulae for gl n series.
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