Yasushi Kajihara

Affiliation: Osaka University

Email: kaji@cr.math.sci.osaka-u.ac.jp

Title Of Talk: On bilinear transformation formulas for basic hypergeometric series and multivariate generalization.

Abstract: In this talk, I will present a class of bilinear transformation formulas for basic hypergeometric series and Milne's multivariate basic hypergeometric series associated with the root system of type $A$. Our construction is very similar to one of elementary proof of Sears-Whipple transformation formula for terminating balanced ${}_4 \phi_3$ series while we use multiple Euler transformation formula with different dimensions which has obtained in our previous work.

Last update made Mon Mar 3 14:39:07 EST 2008.
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