On a Chain Involving the Multidimensional Generalized H-Transforms

[[abstract]]The aim of the present paper is to further study certain multidimensional integral transforms introduced by Srivastava and Panda [9] by establishing a chain interconnecting a finite number of such transforms by the method of mathematical induction. The chain is believed to be new and interesting in nature. Full care has been taken of all the convergence and existence conditions for the validity of chain. The chain has been put in a compact form and exhibits interesting relationship existing between images and originals of a series of related functions in various generalized H-transforms. The importance of our findings lies in the fact that it involves the multivariable Hfunction, which is sufficiently general in nature, therefore corresponding chains for a large number of other integral transforms can easily be obtained as special cases of our chain merely by specializing the various parameters. We have also obtained two special cases of our main result in the form of corollaries