Geodesic
On certain operational formulae for multivariable basic hypergeometric functions
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2 
S. D. Purohit; R. K. Raina. On certain operational formulae for multivariable basic hypergeometric functions. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a3/
@article{AMUC_2009_78_2_a3,
     author = {S. D. Purohit and R. K. Raina},
     title = {On certain operational formulae for multivariable basic hypergeometric functions},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a3/}
}
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AU  - R. K. Raina
TI  - On certain operational formulae for multivariable basic hypergeometric functions
JO  - Acta mathematica Universitatis Comenianae
PY  - 2009
VL  - 78
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UR  - http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a3/
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%A R. K. Raina
%T On certain operational formulae for multivariable basic hypergeometric functions
%J Acta mathematica Universitatis Comenianae
%D 2009
%V 78
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%U http://geodesic.mathdoc.fr/item/AMUC_2009_78_2_a3/
%F AMUC_2009_78_2_a3

Voir la notice de l'article provenant de la source Comenius University

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.