2018Unpublished venueRequires access

g-Mellin Transform

Nataša Duraković, Tatjana Grbić, Sanja Rapajić, Slavica Medić, Sandra Buhmiler

Open publisher page 8 citations

Abstract

One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined. The connections among the g- Mellin transform, the g- Mellin convolution and the inverse g- Mellin transform and the Mellin transform, as well as the connection between the Mellin convolution and the inverse Mellin transform are presented.

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What this paper is about

One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined. The connections among the g- Mellin transform, the g- Mellin convolution and the inverse g- Mellin transform and the Mellin transform, as well as the connection between the Mellin convolution and the inverse Mellin transform are presented.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined. The connections among the g- Mellin transform, the g- Mellin convolution and the inverse g- Mellin transform and the Mellin transform, as well as the connection between the Mellin convolution and the inverse Mellin transform are presented.

Key concepts: Mellin transform, Mellin inversion theorem, Convolution (computer science), Two-sided Laplace transform, Generalization, Inverse, Integral transform, Computer science

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