International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1986 / Article

Open Access

Volume 9 |Article ID 840708 | https://doi.org/10.1155/S0161171286000364

C. Nasim, "On dual integral equations with Hankel kernel and an arbitrary weight function", International Journal of Mathematics and Mathematical Sciences, vol. 9, Article ID 840708, 8 pages, 1986. https://doi.org/10.1155/S0161171286000364

On dual integral equations with Hankel kernel and an arbitrary weight function

Received03 Jul 1985

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.

Copyright © 1986 Hindawi Publishing Corporation. 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.


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