Multiple basic hypergeometric transformation formulas arising from the balanced duality transformation

Abstract

Some multiple hypergeometric transformation formulas arising from the balanced du- ality transformation formula are discussed through the symmetry. Derivations of some transformation formulas with different dimensions are given by taking certain limits of the balanced duality transformation. By combining some of them, some transformation formulas for $A_n$ basic hypergeometric series is given. They include some generalizations of Watson, Sears and ${}_8{W}_7$ transformations.

References in corpus (1)

• Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations

Cited by in corpus (2)

• Symmetry Groups of $A_n$ Hypergeometric Series
• Transformation formulas for bilinear sums of basic hypergeometric series