Original Article
Kyungpook Mathematical Journal 2011; 51(3): 251-260
Published online September 23, 2011
Copyright © Kyungpook Mathematical Journal.
Certain Class of Multidimensional Convolution Integral Equa- tions Involving a Generalized Polynomial Set
Jamal Mohammed Shenan, Tariq Omar Salim
Department of Mathematics, Al-Azhar University-Gaza, P. O. Box 1277, Gaza, Palestine
Received: September 23, 2011; Revised: September 23, 2011; Accepted: September 23, 2011
The aim of this paper is to obtain a solution of a certain multidimensional convolution integral equation of Fredholm type whose kernel involves a generalized polyno- mial set. A number of results follow as special cases from the main theorem by specifying the parameters of the generalized polynomial set.
Keywords: Convolution integral equation, generalized polynomial set, Fox's H-function