chapter  12
16 Pages

The Mehler-Fock Transform

ByBaidyanath Patra

In solving some of the boundary value problems associated with the mathematical theory of elasticity application of the Mehler‐Fock transform has been found. Specially in problems concerning analysis of stress field in the vicinity of external crack in elastic region these transforms have found significant applications In this chapter our main objective is to develop some basic concepts of this transform in an elegant manner together with some useful basic properties of the associated Legendre functions of first kind.