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On the finite Mellin transform in quantum calculus and application

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Abstract The aim of the present paper is to introduce and study a new type of q-Mellin transform [11], that will be called q-finite Mellin transform. In particular, we prove… Click to show full abstract

Abstract The aim of the present paper is to introduce and study a new type of q-Mellin transform [11], that will be called q-finite Mellin transform. In particular, we prove for this new transform an inversion formula and q-convolution product. The application of this transform is also earlier proposed in solving procedure for a new equation with a new fractional differential operator of a variational type.

Keywords: transform quantum; mellin transform; finite mellin; application; transform

Journal Title: Acta Mathematica Scientia
Year Published: 2018

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