On the Weber integral equation and solution to the Weber-Titchmarsh problem

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Yakubovich, SB (Author) FCUP

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 460

Pages: 400-410

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Other information

Authenticus ID: P-00N-J7N

DOI: 10.1016/j.jmaa.2017.12.003

Abstract (EN): We derive sufficient conditions for the existence of the Weber formal solution of the corresponding integral equation, related to the familiar Weber-Orr integral transforms. This gives a solution to the old Weber-Titchmarsh problem (posed in [4]). Our method involves properties of the inverse Mellin transform of integrable functions. The Mellin-Parseval equality and some integrals with the associated Legendre functions are used.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11