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Hypergeometric theta functions and elliptic Macdonald polynomials

Giovanni Felder·Alexander Varchenko
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Abstract

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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Giovanni Felder, Alexander Varchenko. 2003-10-23. Hypergeometric theta functions and elliptic Macdonald polynomials. https://doi.org/10.1155/s1073792804132893

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