SOME PARSEVAL-GOLDSTEIN TYPE IDENTITIES WITH ILLUSTRATIVE EXAMPLES

DOI10.30546/2409-4994.2023.49.1.60zbMath1528.44003OpenAlexW4382204740MaRDI QIDQ6171123

Hilal Başak Karataş, Durmuş Albayrak, Faruk Uçar

Publication date: 17 July 2023

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.1.60

zbMATH Keywords

Mellin transformsParseval-Goldstein type theoremsFourier sine transformsFourier cosine transformsgeneralized Laplace transformsgeneralized Stieltjes transformsgeneralized Glasser transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral transforms of special functions (44A20)

Cites Work

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• A theorem on Widder's potential transform and its applications
• A theorem on the generalized Stieltjes transform and its applications
• Some identities for the Glasser transform and their applications$^{\dag}$
• A theorem on a Laplace‐type integral transform and its applications
• Incomplete Laplace Integrals: Uniform Asymptotic Expansion with Application to the Incomplete Beta Function
• A Parseval-type Theorem Applied to Certain Integral Transforms
• A Parseval-type theorem applied to certain integral transforms on generalized functions
• A theorem on a stieltjes-type integral transform and its applications

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