| dc.contributor.advisor | Ma, Daowei | |
| dc.contributor.author | Al-Shutnawi, Basma | |
| dc.date.accessioned | 2014-06-26T14:52:56Z | |
| dc.date.available | 2014-06-26T14:52:56Z | |
| dc.date.issued | 2013-12 | |
| dc.identifier.other | d13023 | |
| dc.identifier.uri | http://hdl.handle.net/10057/10606 | |
| dc.description | Thesis (Ph.D.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics | |
| dc.description.abstract | In this thesis we consider the convergence sets of formal power series of the form f(z, t)=sigma infinity j=0 pj(z)tj, where pj(z) are polynomials. A subset E of the complex plane C is said to be a convergence set if there is a series f(z, t)=sigma infinity j=0 pj(z)tj such that E is exactly the set of points z for which f(z, t) converges as a power series in t. A quasi-simply connected set is defined to be the union of a countable collection of polynomially convex compact sets. We prove that a subset of C is a convergence set if and only if it is a quasi-simply-connected set. We also give an example of a compact set which is not a convergence set. | |
| dc.format.extent | vii, 22 p. | |
| dc.language.iso | en_US | |
| dc.publisher | Wichita State University | |
| dc.rights | Copyright 2013 Basma Al-Shutnawi | |
| dc.subject.lcsh | Electronic dissertations | |
| dc.title | On convergence sets of formal power series | |
| dc.type | Dissertation | |
