Hypergeometric theta functions and elliptic Macdonald polynomials

Mathematics – Quantum Algebra

Scientific paper

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16 pages, reference added

Scientific paper

10.1155/S1073792804132893

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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