Elliptic Askey-Wilson functions and associated elliptic Schur functions

Masatoshi Noumi (Kobe University)

Tuesday 23rd July, 2013 15:00-16:00 Maths 416


In this talk I discuss a family of elliptic functions that generalize Askey-Wilson polynomials, with emphasis on their difference equations. Also, I investigate a class of multivariable elliptic functions of Schur type built up from them by determinants. This class of functions can be regarded as an elliptic extension of Koornwinder polynomials with t=q, and carries various characteristic properties. I will describe in particular difference equations for this class, and an explicit formula for rectangle cases.

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