Nevanlinna theory

Nevanlinna theory is a branch of complex analysis that studies how meromorphic functions (complex functions with poles) behave in the complex plane. It focuses on how often these functions take on certain values and how they grow as you move further from the origin. The theory provides tools, like the Nevanlinna characteristic function, to quantify the distribution of values and poles, helping mathematicians understand the value patterns and growth behavior of complex functions. It has vital applications in understanding the nature of complex functions and solving related mathematical problems.