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

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math.CA2009★ 20 cited

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

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

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 transfo…