title: q-Sumudu transforms of q-analogues of Bessel functions.
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.
authors.affiliation: Department of Mathematics, Marmara University, Kadıköy, 34722 Istanbul, Turkey.
authors.forename: Faruk
authors.identifier: 0000-0002-9180-3102
authors.initials: F
authors.lastname: Uçar
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D055641:Mathematical Concepts; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted