Mathematics – Classical Analysis and ODEs
Scientific paper
2008-07-08
Transformation Groups 14 (2009), 613-647.
Mathematics
Classical Analysis and ODEs
30 pages
Scientific paper
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.
Lascoux Alain
Rains Eric M.
Warnaar Ole S.
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