Date of Award
Master of Science - Mathematical Sciences
Mathematics and Statistics
Roy Joseph Harris
Sarah Triana Stovall
Lee W. Payne
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.
Huckaby, Chad A., "Observations on Convexity" (2017). Electronic Theses and Dissertations. 88.
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