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Angular Complex Mellin Transform

V. N. Mahalle, A. S. Gudadhe, R. D. Taywade

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Abstract

The angular (fractional) complex Mellin transform which is a generalization of the complex mellin transform has many applications in several areas including signal processing and optics. In this paper we have given inversion theorem for the generalized Fractional Complex Mellin transform. For that we first prove two lemmas. Lastly we have discussed some applications of this transform.

About this research paper

What this paper is about

The angular (fractional) complex Mellin transform which is a generalization of the complex mellin transform has many applications in several areas including signal processing and optics. In this paper we have given inversion theorem for the generalized Fractional Complex Mellin transform. For that we first prove two lemmas. Lastly we have discussed some applications of this transform.

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Key contribution

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Method / approach

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Available abstract

The angular (fractional) complex Mellin transform which is a generalization of the complex mellin transform has many applications in several areas including signal processing and optics. In this paper we have given inversion theorem for the generalized Fractional Complex Mellin transform. For that we first prove two lemmas. Lastly we have discussed some applications of this transform.

Key concepts: Mellin transform, Mellin inversion theorem, Generalization, Two-sided Laplace transform, Inversion (geology), Integral transform, Mathematics, Fractional Fourier transform

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