Date of Award

5-2017

Degree Type

Thesis

Degree Name

Master of Science - Mathematical Sciences

Department

Mathematics and Statistics

First Advisor

Roy Joseph Harris

Second Advisor

Sarah Triana Stovall

Third Advisor

Clint Richardson

Fourth Advisor

Lee W. Payne

Abstract

This thesis will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls determined by inversions, shift inversions, and Mobius transformations. A convex hull must be preceded by the set of functions involved. These hulls are the smallest convex sets that contain the original set. Justifications and precise definitions are included within the body of the work.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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Analysis Commons

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