Some Parseval-Goldstein Type Theorems For Generalized Integral Transforms-Reference-Cited by-同舟云学术

Some Parseval-Goldstein Type Theorems For Generalized Integral Transforms

Published:2024-04-14 Issue:2 Volume:12 Page:81-92
ISSN:2147-6268
Container-title:Mathematical Sciences and Applications E-Notes
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Author:

Albayrak Durmuş¹^ORCID

Affiliation:

1. MARMARA ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ, ANALİZ VE FONKSİYONLAR TEORİSİ ANABİLİM DALI

Abstract

In this work, we establish some Parseval-Goldstein type identities and relations that include various new generalized integral transforms such as $\mathcal{L}_{\alpha,\mu}$-transform and generalized Stieltjes transform. In addition, we evaluated improper integrals of some fundamental and special functions using our results.

Publisher

Mathematical Sciences and Applications E-Notes

Reference18 articles.

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2. [2] Yürekli, O.: A Parseval-type theorem applied to certain integral transforms. IMA Journal of Applied Mathematics. 42 (3), 241-249 (1989).

3. [3] Yürekli, O.: A theorem on the generalized Stieltjes transform, Journal of Mathematical Analysis and Applications. 168(1), 63-71 (1992).

4. [4] Albayrak, D., Dernek, N.: Some relations for the generalized e Gn; e Pn integral transforms and Riemann-Liouville, Weyl integral operators. Gazi University Journal of Science. 36 (1), 362-381 (2023).

5. [5] Albayrak, D., Dernek, N.: On some generalized integral transforms and Parseval-Goldstein type relations. Hacettepe Journal of Mathematics and Statistics. 50 (2), 526-540 (2021).

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