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


Tabinda Nahid, Shahid Ahmad Wani




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 ${_q}L_2$-transform and ${_q}\mathcal{L}_2$-transform of certain $q^2$-Humbert functions are considered. Several useful special cases have been deduced as applications of main results.