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Journals / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 2

On some generalized integral transforms and Parseval-Goldstein type relations

Durmuş Albayrak
Neşe Dernek
Pages
526–540
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Illustrative examples are also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present article, using the generalized Bessel-Maitland transform, the Laplace transform and the other known transforms, authors obtain new Parseval-Goldstein type relations.
📊
Key Findings & Data:Using these relations, some generalized integrals involving Fox-Wright functions are evaluated.
💡
Conclusion & Impact:Illustrative examples are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized Bessel-Maitland integral transform · Laplace transform · Parseval-Goldstein type relations

Abstract

In the present article, using the generalized Bessel-Maitland transform, the Laplace transform and the other known transforms, authors obtain new Parseval-Goldstein type relations. Using these relations, some generalized integrals involving Fox-Wright functions are evaluated. Illustrative examples are also given.

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Cite This Article

Albayrak, D., Dernek, N. (2022). On some generalized integral transforms and Parseval-Goldstein type relations. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 2, 526–540. https://ajindex.com/articles/529950

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