Riemann Mapping Theorem from Geometrical View Point in Classification of Domains of a Conformal Map

Ismaila OI, Manjak NH, Kwami AM, Okai J and Hina AD

Published on: 2024-03-06

Abstract

Conformal map was used in mapping some domain from the upper half plane to the unit disc and vice-versa and what it does to physical system by using a conformal self-map. It was observed that finding solution of a conformal map of a given domain onto D is the same as finding solution onto H. Three classes of domains for conformal map were discussed and we were able to see how problems transformed geometrically with the use of a power function.