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Article
Publication date: 27 March 2023

Larbi Rakhimi and Radouan Daher

Using a generalized translation operator, this study aims to obtain a generalization of Titchmarsh's theorem for the Laguerre–Bessel transform for functions satisfying the…

Abstract

Purpose

Using a generalized translation operator, this study aims to obtain a generalization of Titchmarsh's theorem for the Laguerre–Bessel transform for functions satisfying the ψ-Laguerre–Bessel–Lipschitz condition in the space L2α (K), where K=0,+×0,+[.

Design/methodology/approach

The author has employed the results developed by Titchmarsh, of reference number [1].

Findings

In this paper, an analogous of Titchmarsh's theorem is established for Laguerre–Bessel transform.

Originality/value

To the best of the authors’ findings, at the time of submission of this paper, the results reported are new and interesting.

Details

Arab Journal of Mathematical Sciences, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1319-5166

Keywords

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