Document Type
Thesis
Date of Award
5-2000
School/College
College of Science, Engineering, and Technology (COSET)
Degree Name
MS in Mathematics
First Advisor
Professor Robert M. Nehs
Abstract
This study lists the basic definitions and concepts relating to analytic functions, indicates the fundamental theorems which are assumed without proof, and then develops and proves the necessary preliminary results needed for the following Theorems: 1. MAXIMUM MODULUS THEOREM 2. OPEN MAPPING THEOREM 3. INVERSE FUNCTION THEOREM These three theorems form an important basis for the theoretical study of Julia sets and the Mandelbort set.
Recommended Citation
Al-Bataineh, Hiyam, "Three Important Theorems for Analytic Functions" (2000). Theses (Pre-2016). 138.
https://digitalscholarship.tsu.edu/pre-2016_theses/138
COinS