Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Robin Langer ; Michael J. Schlosser ; S. Ole Warnaar

Symmetry, integrability and geometry: methods and applications, Tome 5 (2009)

Résumé

We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case.

Détail

Keywords: theta functions; Macdonald polynomials; elliptic hypergeometric series.

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