Sahoo, Subhadarshan (2013) Harmonic functions. MSc thesis.
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.
|Item Type:||Thesis ( MSc)|
|Uncontrolled Keywords:||Harmonic functions; Poisson kernel; Normal Family; Connectedness and Compactness of metic space.|
|Subjects:||Mathematics and Statistics > Topology|
|Divisions:||Sciences > Department of Mathematics|
|Deposited By:||Hemanta Biswal|
|Deposited On:||05 Dec 2013 16:48|
|Last Modified:||05 Dec 2013 16:49|
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