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2004•Mathematical and Computational ApplicationsOpen access

A Note on Mellin Transform and Distributions

Adem Kılıçman

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Abstract

Mellin Transform occurs in many branches of Applied Mathematics and Engineering. The Mellin transform is very much related to the Laplace and Fourier transforms and the theory for the ordinary functions is well established. In the distributional sense, first it was studied by Zemanian in [2]. In this work we try to extend to the wider class of distributions.

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What this paper is about

Mellin Transform occurs in many branches of Applied Mathematics and Engineering. The Mellin transform is very much related to the Laplace and Fourier transforms and the theory for the ordinary functions is well established. In the distributional sense, first it was studied by Zemanian in [2]. In this work we try to extend to the wider class of distributions.

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Available abstract

Mellin Transform occurs in many branches of Applied Mathematics and Engineering. The Mellin transform is very much related to the Laplace and Fourier transforms and the theory for the ordinary functions is well established. In the distributional sense, first it was studied by Zemanian in [2]. In this work we try to extend to the wider class of distributions.

Key concepts: Mellin transform, Mellin inversion theorem, Laplace transform, Two-sided Laplace transform, Class (philosophy), Integral transform, Fourier transform, Mathematics

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