On the use of Mellin transform to a class of q-difference-differential equations
arXiv:math-ph/0004028 · doi:10.1016/S0375-9601(00)00191-2
Abstract
We explore the possibility of using the method of classical integral transforms to solve a class of -difference-differential equations. The Laplace and the Mellin transform of -derivatives are derived. The results show that the Mellin transform of the -derivative resembles most closely the corresponding expression in classical analysis, and it could therefore be useful in solving certain -difference equations.
13 pages, LaTex, no figures