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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, 26A33Fractional 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.

On q-Laplace Transforms of the q-Bessel Functions

Purohit, S., Kalla, S. (2007)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.

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