Growth of entire and meromorphic functions
2019
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Advisor: Prof. Dr. Sezai Oğraş
Abstract (EN)
Nevanlinna Theory is a tool to investigate growth, value distributions and behaviors of entire and meromorphic functions on the complex plane. In this study,basic notions, definitions, and theorems that are used in the study are given and then Nevanlinna theory is explained and some of its properties are proven. Lastly,order snd type of entire and meromorphic functıons are studıed, related thereoms are gıven and some examples are presented. In literature, Nevanlinna theory is studied ın relation to the value distributions of meromorphic functions also known as distribution theory. In Nevanlinna theory, Fundamental theory of algebra, Pecard Theorem and Weierstrass-Casorati theorem has great importance. Nevanlınna theory is a generalization of Little Picard Theorem. In this study, our goal is to present value distributions of meromorphic functions, their growth and its other properties using Nevanlinna theory.
Author
Dr. Fuat Saçı
How to Cite
Fuat Saçı (Master Thesis). Growth of entire and meromorphic functions, 2019, Dicle University.
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