On a class of generalized Meijer–Laplace transforms of Fox function type kernels and their extension to a class of Boehmians-Reference-Cited by-同舟云学术

On a class of generalized Meijer–Laplace transforms of Fox function type kernels and their extension to a class of Boehmians

Published:2018-03-01 Issue:1 Volume:25 Page:1-8
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
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Author:

Al-Omari Shrideh Khalaf Qasem

Abstract

AbstractIn this paper, we investigate a Meijer–Laplace transform enfolding Fox’sH-functions on a class of Boehmians. The extended Meijer–Laplace transform of a Boehmian is determined and executed to preserve certain properties of the classical transform. The inverse problem and related theorems are also discussed in some details.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference70 articles.

1. The support of Mikusiński operators;Trans. Amer. Math. Soc.,1973

2. The Laplace transform on a Boehmian space;Ann. Polon. Math.,2010

3. Some general properties of a fractional Sumudu transform in the class of Boehmians;Kuwait J. Sci.,2016

4. Some remarks on the extended Hartley–Hilbert and Fourier–Hilbert transforms of Boehmians;Abstr. Appl. Anal.,2013

5. On diffraction Fresnel transforms for Boehmians;Abstr. Appl. Anal.,2011

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