International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 2, Pages 293-300
doi:10.1155/S0161171286000364
On dual integral equations with Hankel kernel and an arbitrary weight function
Department of Mathematics and Statistics, The University of Calgary, Calgary T2N 1N4, Alberta, Canada
Received 3 July 1985
Copyright © 1986 C. Nasim. 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
In this paper we deal with dual integral equations with an arbitrary weight function and Hankel kernels of distinct and general order. We propose an operational procedure, which depends on exploiting the properties of the Mellin transforms, and readily reduces the dual equations to a single equation. This then can be inverted by the Hankel inversion to give us an equation of Fredholm type, involving the unknown function. Most of the known results are then derived as special cases of our general result.