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On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function

Kalla, S.;  Yadav, R.;  Purohit, S. — 2005

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 33D60, 26A33, 33C60 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.

On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions

Yadav, R.;  Purohit, S.;  Kalla, S. — 2008

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 33D60, 33D90, 26A33 Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated. A number of integrals involving various q-functions have been evaluated as applications of the main results.

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