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Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
2009
Symmetry, Integrability and Geometry: Methods and Applications
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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.
doi:10.3842/sigma.2009.055
fatcat:72nhelefv5ggjb4xvr6yjcazua