International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 9, Pages 571-586
doi:10.1155/S0161171201005142
H-function with complex parameters I: existence
Fadhel A. Al-Musallam
and Vu Kim Tuan
Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract
An H-function with complex parameters is defined by a Mellin-Barnes type integral. Necessary and sufficient conditions under which the integral defining the H-function converges absolutely are established. Some properties, special cases, and an application to integral transforms are given.