Publication Date

2014

Document Type

Dissertation/Thesis

First Advisor

Fletcher, A. (Alastair)

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematical Sciences

LCSH

Functions of complex variables; Blaschke products; Mathematics

Abstract

In this thesis, we discuss certain aspects of complex dynamics. We will introduce the important concepts in iteration theory, discuss examples of families of holomorphic mappings, and their dynamics. In particular, we will discuss the family of quadratic functions, the family of Mobius mappings of the disk, and a certain sub-class of Blaschke products. We will show how the dynamics depend on the parameters.

Comments

Advisors: Alastair Fletcher.||Committee members: Sien Deng; Zhuan Ye.

Extent

35 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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