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

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Journal of Computational and Applied Mathematics

Vol. 347

Pages: 150-155

ISSN: 0377-0427

Publisher: Elsevier

Indexing

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Other information

Authenticus ID: P-00P-HMN

DOI: 10.1016/j.cam.2018.08.014

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