International Journal of Mathematics and Mathematical Sciences 
Volume 15 (1992), Issue 4, Pages 823-827
doi:10.1155/S0161171292001091

A characterization of the generalized Meijer transform

E. Y. Deeba1 and E. L. Koh2

 1Department of Applied Mathematical Sciences, University of Houston-Downtown, Houston 77002, Texas, USA
2Department of Mathematics & Statistics, University of Regina, Regina S4S 0A2, Canada
Received 8 May 1991; Revised 1 October 1991

Abstract

The purpose of the note is to prove a representation theorem for the generalized Meijer transform defined in [2]. In particular, we shall state and prove necessary and sufficient conditions for a function F(p) to be the generalized Meijer transform of a generalized function.