Harmonic functions

Abstract

In this thesis, we study the following topics in complex analysis:- (a) Some basic results like Lebesegue’s covering lemma, Maximum modulus theorem and Schwarz lemma. (b)The basic principle of Normal Family; results like Roche’s theorem, Hurwitz theorem and the Montel’s theorem. (c) The basic theory regarding Harmonic functions. Moreover, in this thesis we plan to focous on the advance theory of Harmonic functions. We study Poisson kernel and it’s properties and finally we give the detail prove of the Harnack’s theorem.