The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions. The results may help to extend the q-theory of orthogonal functions.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3929069 | PMC |
| http://dx.doi.org/10.1155/2014/327019 | DOI Listing |
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q-Sumudu transforms of q-analogues of Bessel functions.
ScientificWorldJournal
December 2014
Department of Mathematics, Marmara University, Kadıköy, 34722 Istanbul, Turkey.
The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed. Further, the results proved in this paper may find certain applications of q-Sumudu transforms to the solutions of the q-integrodifferential equations involving q-Bessel functions.
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