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arXiv:0905.4033 [math.CA]AbstractReferencesReviewsResources

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

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

Published 2009-05-25Version 1

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.

Journal: SIGMA 5 (2009), 055, 20 pages
Categories: math.CA, math.CO
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