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Elliptic hypergeometric functions

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Speaker: 
V.P. Spiridonov
Affiliation: 
Dubna/MPI
Date: 
Thu, 2010-11-18 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

We give a brief survey of the theory of elliptic hypergeometric functions - a new class of special functions discovered around ten years ago. Main topics to be discussed: the elliptic gamma function and elliptic beta integral, generalizing Euler's gamma function and beta integral; an elliptic analogue of the Gauss hypergeometric function; an elliptic extension of the Selberg integral; elliptic biorthogonal functions, generalizing classical orthogonal polynomials.

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