A Product Formula and Certain q-Laplace Type Transforms for the q-Humbert Functions

Abstract

The present work deals with the mathematical investigation of the product formulas and several q-Laplace type integral transforms of certain q-Humbert functions. In our investigation, the qL2-transform and qℒ2-transform of certain q2-Humbert functions are considered. Several useful special cases have been deduced as applications of main results.