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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231274We 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.Classical Analysis and ODEsCombinatoricsTheta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecturetext