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On the Weber type integral equation related to the Weber-Titchmarsh problem

Title
On the Weber type integral equation related to the Weber-Titchmarsh problem
Type
Article in International Scientific Journal
Year
2019
Authors
Yakubovich, SB
(Author)
FCUP
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Journal
Vol. 347
Pages: 150-155
ISSN: 0377-0427
Publisher: Elsevier
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
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Other information
Authenticus ID: P-00P-HMN
Abstract (EN): We derive solvability conditions and closed-form solution for the Weber type integral equation, related to the familiar Weber-Orr integral transforms and the old Weber-Titchmarsh problem (posed in Titchmarsh (1924), pp. 15, 16), recently solved by the author. Our method involves properties of the inverse Mellin transform of integrable functions. The Mellin-Parseval equality and some integrals, involving the Gauss hypergeometric function, are used.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 6
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