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

نویسنده

  • Choon-Lin Ho
چکیده

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 qderivative 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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تاریخ انتشار 2000