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

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dc.creatorLanger, Robin
dc.creatorSchlosser, Michael J.
dc.creatorWarnaar, S. Ole
dc.date2009-05-25
dc.date.accessioned2026-07-07T13:17:56Z
dc.date.available2026-07-07T13:17:56Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0905.4033
dc.identifierhttp://arxiv.org/abs/0905.4033
dc.identifierSIGMA 5 (2009), 055, 20 pages
dc.identifierdoi:10.3842/SIGMA.2009.055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231274
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.titleTheta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
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