Application of some special functions related to the Bessel functions in transient thermal problems and operator calculus (Q1096474)

The paper is devoted to an analysis of the unsteady heat flow between a fluid and a solid body generating heat. Using the special functions \(Bes_ n(x,y)\) and \(Bs_ n(x,y)\), the temperature distributions are obtained in the so-called closed form. The presented way of finding the solution may be also applied when heat generation in a solid body and/or a fluid is a function of position or position and time. It is also shown that the used special functions are largely applicable in operator calculus.