Geodesic
On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function
Fractional calculus and applied analysis, Tome 8 (2005) no. 3, pp. 313-322.

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The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.
Keywords: Fractional q-Integral, H-Function, q-Functions, 33D60, 26A33, 33C60 
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Kalla, S.; Yadav, R.; Purohit, S. On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function. Fractional calculus and applied analysis, Tome 8 (2005) no. 3, pp. 313-322. http://geodesic.mathdoc.fr/item/FCAA_2005_8_3_a5/