Sumudu Transforms of -Analogues of Bessel FunctionsReport as inadecuate




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The Scientific World Journal - Volume 2014 2014, Article ID 327019, 7 pages -

Research ArticleDepartment of Mathematics, Marmara University, Kadıköy, 34722 Istanbul, Turkey

Received 21 August 2013; Accepted 30 October 2013; Published 29 January 2014

Academic Editors: A. Atangana, A. Kılıçman, S. C. O. Noutchie, and S. S. Ray

Copyright © 2014 Faruk Uçar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main purpose of this paper is to evaluate -Sumudu transforms of a productof -Bessel functions. Interesting special cases of theorems are alsodiscussed. Further, the results proved in this paper may find certainapplications of -Sumudu transforms to the solutions of the -integrodifferential equations involving -Bessel functions. The resultsmay help to extend the -theory of orthogonal functions.

Dedicated to Professor Yusuf Avcı on the occasion of his 65th birthday





Author: Faruk Uçar

Source: https://www.hindawi.com/



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