Robin Langer, Michael J. Schlosser and S. Ole Warnaar

Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture

(20 pages)

Abstract. 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.

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