q-Sumudu Transforms of q-Analogues of Bessel Functions


Ucar F.

SCIENTIFIC WORLD JOURNAL, 2014 (Journal Indexed in SCI) identifier identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2014
  • Doi Number: 10.1155/2014/327019
  • Title of Journal : SCIENTIFIC WORLD JOURNAL

Abstract

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.