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Some results for Laplace-type integral operator in quantum calculus

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2018

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Springer Open

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Abstract

In the present article, we wish to discuss q-analogues of Laplace-type integrals on diverse types of q-special functions involving Fox's H-q-functions. Some of the discussed functions are the q-Bessel functions of the first kind, the q-Bessel functions of the second kind, the q-Bessel functions of the third kind, and the q-Struve functions as well. Also, we obtain some associated results related to q-analogues of the Laplace-type integral on hyperbolic sine (cosine) functions and some others of exponential order type as an application to the given theory.

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J(V)(X;Q) Function, Y-V(X;Q) Function, K-V(X;Q) Function, H-V(X;Q) Function, Laplace-Type Integral

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Al-Omari, Shrideh K. Q.; Baleanu, Dumitru; Purohit, Sunil D., "Some results for Laplace-type integral operator in quantum calculus", Advances in Difference Equations, (April 2018).

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Advances in Difference Equations

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