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math.CA2008★ 2 cited
Nonsymmetric interpolation Macdonald polynomials and g_n basic hypergeometric series
Alain Lascoux, Eric M. Rains, S. Ole Warnaar
The Knop-Sahi interpolation Macdonald polynomials are inhomogeneous and nonsymmetric generalisations of the well-known Macdonald polynomials. In this paper we apply the interpolati…
math.CA2008★ 21 cited
An Isomonodromy Interpretation of the Hypergeometric Solution of the Elliptic Painlevé Equation (and Generalizations)
Eric M. Rains
We construct a family of second-order linear difference equations parametrized by the hypergeometric solution of the elliptic Painlevé equation (or higher-order analogues), and adm…
math.CO2008★ 12 cited
Elliptic Littlewood identities
Eric M. Rains
We prove analogues for elliptic interpolation functions of Macdonald's version of the Littlewood identity for (skew) Macdonald polynomials, in the process developing an interpretat…