Title: A new Weber type integral equation related to the Weber-Titchmarsh problem,
Abstract: 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 Proc. Lond. Math. Soc. 22 (2)
(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.