A Study of Some Problems in Advanced Complex Variable Theory

Abstract

In this research we studyed some problems in advanced complex variable theory, which include functional coincidence, analytical cointinuation, poles and zeros, the argument principle, and the gamma function. In chapter one we used the theorem of functional coincidence and some theorems of analytical continuation to solve some problems. In chapter two we have to define the concept of poles and zeros and we used their theory for solving some integrals. In chapter three we addressed the concept of the argument principle, which covers a range of theorems and methods used in solving such issues. And we ended this research by chapter four which talked about the gamma function and some related theorems.