Fletcher, A. (Alastair)
M.S. (Master of Science)
Department of Mathematical Sciences
Functions of complex variables; Blaschke products; Mathematics
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.
Plikuhn, Katherine, "Blaschke products and parameter spaces" (2014). Graduate Research Theses & Dissertations. 1656.
Northern Illinois University
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