Abstract: In this work we derive the bilateral generating relations, pertaining to the product of V.P. Saxena’s I-function [3] and the multivariable H-function of Srivastava and Panda [6]. By suitably specializing the various parameters involved, this formula would yield the corresponding bilateral generating functions for a variety of simpler special functions. 2010 Mathematics Subject Classification: Primary 33C60; secondary 33C65.