Geodesic
On q-Laplace Transforms of the q-Bessel Functions
Fractional calculus and applied analysis, Tome 10 (2007) no. 2, pp. 189-196.

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The 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.
Keywords: q-Laplace Transforms, Basic Hypergeometric Functions, Basic Analogue of the Bessel Function, 33D15, 44A10, 44A20 
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     title = {On {q-Laplace} {Transforms} of the {q-Bessel} {Functions}},
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Purohit, S.; Kalla, S. On q-Laplace Transforms of the q-Bessel Functions. Fractional calculus and applied analysis, Tome 10 (2007) no. 2, pp. 189-196. http://geodesic.mathdoc.fr/item/FCAA_2007_10_2_a7/