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

Choon-Lin Ho
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Abstract

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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BibTeXRIS

Choon-Lin Ho. 2000-04-23. On the use of Mellin transform to a class of q-difference-differential equations. https://doi.org/10.1016/s0375-9601(00)00191-2

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