H

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

H-function with complex parameters II: evaluation

Sufficient conditions for computation of the H-functions with complex parameters by means of residues are derived and some examples are given

© Hindawi Publishing Corp. H-FUNCTION WITH COMPLEX PARAMETERS II: EVALUATION

Abstract. Sufficient conditions for computation of the H-functions with complex parameters by means of residues are derived and some examples are given. 2000 Mathematics Subject Classification. Primary 33C60. 1