New identities on some generalized integral transforms and their applications-Reference-Cited by-同舟云学术

New identities on some generalized integral transforms and their applications

Published:2022 Issue:9 Volume:36 Page:2947-2960
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aylikci Fatih¹,Dernek Nese²,Balaban Gulesin³

Affiliation:

1. Department of Mathematical Engineering, Yildiz Technical University, Esenler, Istanbul, Turkey

2. Department of Mathematics, Marmara University, Kadıköy, Istanbul, Turkey

3. Department of Mathematics, Yeditepe University, Atasehir, Istanbul, Turkey

Abstract

In this paper the authors gave an iteration identity for the generalized Laplace transform L2n and the generalized Glasser transform G2n. Using this identity a Parseval-Goldstein type theorem for the L2n-transform and the G2n-transform is given. By making use of these results a number of new Parseval-Goldstein type identities are obtained for these and many other well-known integral transforms. The identities proven in this paper are shown to give rise to useful corollaries for evaluating infinite integrals of special functions. Some examples are also given.

Publisher

National Library of Serbia

Subject

General Mathematics

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