p. 187 - 195 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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2008, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |