Value Distribution Theory of Meromorphic Functions

Abstract. The Value Distribution Theory of Nevanlinna is about a century old and still is an active area of research. It has a wide range of applications within and outside function theory. In this expository article we present this theory with history, recent developments and applications to Number Theory, Complex Dynamics, Factorization of Meromorphic Functions and Complex Differential Equations besides Value Sharing of Meromorphic Functions. Also, some open problems are presented for furthe