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arXiv · 0807.1351

Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series

Alain Lascoux·Eric M. Rains·S. Ole Warnaar
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Abstract

The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolation Macdonald polynomials to study a new type of basic hypergeometric series of type g_n. Our main results include a new q-binomial theorem, new q-Gauss sum, and several transformation formulae for g_n series.

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Alain Lascoux, Eric M. Rains, S. Ole Warnaar. 2008-07-08. Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series. https://arxiv.org/abs/0807.1351

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