Date of Award
2018
Degree Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics
Department
Mathematics
First Advisor
Mark Comerford
Abstract
The Schlicht class of functions, commonly denoted as S, is the class of univalent functions defined on the unit disk such that f (0) = 0 and f’(0) = 1. This is a well-studied class for which many results are known. We prove that there exists a bounded sequence of polynomials, and a Fatou component for this sequence, such that for all f ∈ S, there exists a subsequence of iterates of compositions of our polynomial sequence for which f is a limit function.
Recommended Citation
Staniszewski, Christopher, "On Possible Limit Functions on a Fatou Component in Non-Autonomous Iteration" (2018). Open Access Dissertations. Paper 724.
https://digitalcommons.uri.edu/oa_diss/724
Terms of Use
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