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dc.contributor.advisorMa, Daowei
dc.contributor.authorAl-Shutnawi, Basma
dc.date.accessioned2014-06-26T14:52:56Z
dc.date.available2014-06-26T14:52:56Z
dc.date.issued2013-12
dc.identifier.otherd13023
dc.identifier.urihttp://hdl.handle.net/10057/10606
dc.descriptionThesis (Ph.D.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics and Physics
dc.description.abstractIn 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.extentvii, 22 p.
dc.language.isoen_US
dc.publisherWichita State University
dc.rightsCopyright 2013 Basma Al-Shutnawi
dc.subject.lcshElectronic dissertations
dc.titleOn convergence sets of formal power series
dc.typeDissertation


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