On Certain Transformations of Bivariate Basic Hypergeometric Series using q-Fractional Operators

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Abstract

The object of this paper is to derive a transformation expressing a bivariate basic hypergeometric function in terms of a nite sum of basic hypergeometric function by the application of q-fractional derivatives using some known results.

Keywords and Phrases

Basic hypergeometric Function, bivariate hypergeometric function and q-fractional derivatives.

A.M.S. subject classification

Primary 33D15, Secondary 30B30.

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