Nevanlinna Theory

In this chapter Nevanlinna Theory, Cartan's Theory of Entire Curves, and the Selberg-Valiron Theory of Algebroid Functions will be outlined, particularly with regard to the applications in the subsequent chapters and including recent developments in the context of the Second Main Theorem. Nevanlinna Theory provides the most effective tools in the modern theory of meromorphic functions, and even simplifies the older theory of entire functions considerably.(1)