On the use of Mellin transform to a class of q-difference-differential equations

Details On the use of Mellin transform to a class of q-difference-differential equations On the use of Mellin transform to a class of q-difference-differential equations

2000-04-23

arxiv.org/abs/math-ph/0004028v1

Phys. Lett. 268A (2000) 217

Physics

Mathematical Physics

13 pages, LaTex, no figures

Scientific paper

10.1016/S0375-9601(00)00191-2

We explore the possibility of using the method of classical integral transforms to solve a class of $q$-difference-differential equations. The Laplace and the Mellin transform of $q$-derivatives are derived. The results show that the Mellin transform of the $q$-derivative resembles most closely the corresponding expression in classical analysis, and it could therefore be useful in solving certain $q$-difference equations.

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