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 |