ON AN INTEGRAL TRANSFORM INVOLVING BESSEL FUNCTIONS

Abstract

This paper deals with a new integral transform, involving a combination of Bessel functions as a kernel. The inversion formula is established and some properties are given. This transform can be used to solve some mixed boundary value problems. We consider here a problem of heat conductions in an infinite and semi-infinite cylinder (\(r = a\), \(r = b\), \(b > a\)) with radiation-type boundary conditions.