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arxiv: math/0309452 · v2 · submitted 2003-09-28 · 🧮 math.QA

Hypergeometric theta functions and elliptic Macdonald polynomials

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keywords macdonaldpolynomialsellipticblocksconformalfunctionshypergeometricidentities
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Elliptic Macdonald polynomials of sl(2)-type and level 2 are introduced. Suitable limits of elliptic Macdonald polynomials are the standard Macdonald polynomials and conformal blocks. Identities for elliptic Macdonald polynomials, in particular their modular properties, are studied.

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