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2024 | OriginalPaper | Chapter

Double Mellin-ARA Transform

Authors : Baha’ Abughazaleh, Mohammad A. Amleh, Ahmad Al-Natoor, Rania Saadeh

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

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Abstract

The main purpose of this study is introducing a novel generalization of some single integral transforms. The new double hybrid transform combines the Mellin and ARA transforms. We present the definition of the new transform, and investigate the basic properties such as the existence, the inverse and related theorems. New results on partially derivatives and the theorem of double convolution are introduced and discussed.

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Title: Double Mellin-ARA Transform
Authors: Baha’ Abughazaleh
Mohammad A. Amleh
Ahmad Al-Natoor
Rania Saadeh
Publisher: Springer Nature Singapore
Book: Mathematical Analysis and Numerical Methods
Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-981-97-4876-1_26

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