Maximizing the generalized Fekete-Szego functional over a class of hyperbolically convex functions

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dc.contributor.committeeChairBarnard, Roger W.
dc.contributor.committeeChairWilliams, G. Brock
dc.contributor.committeeMemberMonico, Christopher J.
dc.contributor.committeeMemberPearce, Kent
dc.contributor.committeeMemberSolynin, Alexander Y.
dc.creatorMartin, David R.
dc.date.accessioned2016-11-14T23:14:03Z
dc.date.available2012-06-01T15:57:51Z
dc.date.available2016-11-14T23:14:03Z
dc.date.issued2006-08
dc.degree.departmentMathematics
dc.description.abstractIn this paper, we are attempting to find an extremal for the "generalized" Fekete-Szego functional over the class of hyperbolically convex functions. In trying to find the extremal, the Julia variational formula will be used to reduce the problem to mappings having no more than two proper sides. We will then find a range of t-values for which the one-sided mapping is extremal over all those mappings having non-zero second coefficient.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/1007
dc.language.isoeng
dc.rights.availabilityUnrestricted.
dc.subjectComplex
dc.subjectFekete-szego
dc.subjectHyperbolically convex
dc.subjectMath
dc.titleMaximizing the generalized Fekete-Szego functional over a class of hyperbolically convex functions
dc.typeDissertation

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