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On certain operational formulae for multivariable basic hypergeometric functions
S. D. Purohit and R. K. Raina
Received: January 24, 2008; Accepted: March 16, 2009
Abstract. In the present paper certain operational formulae involving Riemann-Liouville and Kober fractional q-integral operators for an analytic function are derived. The usefulness of the main results are exhibited by considering some examples which also yield q-extensions of some known results for ordinary hypergeometric functions of one and more variables.
Keywords: Fractional q-integral operators; Riemann-Liouville and Kober q-integral operators; multivariable basic hypergeometric functions.
AMS Subject classification: Primary: 33D7, Secondary: 26A33
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