Power series coefficients of some classical functions

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dc.contributor.committeeChairBarnard, Roger W.
dc.contributor.committeeChairPearce, Kent
dc.contributor.committeeMemberSolynin, Alexander Y.
dc.contributor.committeeMemberWilliams, Brock
dc.creatorWilliams, Alexander S.
dc.date.accessioned2016-11-14T23:23:17Z
dc.date.available2011-02-18T21:38:27Z
dc.date.available2016-11-14T23:23:17Z
dc.date.issued2006-08
dc.degree.departmentMathematicsen_US
dc.description.abstractIn this thesis we consider several problems pertaining to extremal conditions arising in Geometric Function Theory. First, we extend the known extremal conditions of a particular function space to a slightly more general space and determine the condition of equality. Next, we discuss the current status of the Krzyz conjecture with a new observation. In the following chapter, we develop a mechanism to translate an extremal function of one space into another space and apply it to a special case of the Krzyz conjecture. The last chapter of the paper is devoted to discussing the current status of Brannan's conjecture with some observations that might lead to its proof.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/16618en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectSeriesen_US
dc.subjectGap functionen_US
dc.subjectConjectureen_US
dc.subjectGeometricen_US
dc.subjectComplex analysisen_US
dc.titlePower series coefficients of some classical functions
dc.typeThesis

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