Novel solution for conformal transformation

Conformal transformation which maps one complex plane into another has been used in many scientific disciplines for solving complex problems. In the context of problems in electromagnetics, a complex physical plane z is mapped into a complex potential plane w via a transformation z = f(w). f(w) is a transcendental, but analytic function of the complex variable w. In this paper, we describe a way of obtaining the desired inversion w = f
^-1
(z).