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dc.contributor.committeeChairWilliams, G. Brock
dc.contributor.committeeChairBarnard, Roger W.
dc.contributor.committeeMemberSolynin, Alexander Y.
dc.contributor.committeeMemberKorchagin, Anatoly
dc.contributor.committeeMemberPearce, Kent
dc.creatorHume, Casey R.
dc.description.abstractWe examine the question of finding a maximal value for the fourth coefficient for bounded univalent convex functions considered as a subclass of Schlicht functions. In so doing, we reduce the maximal configuration for this functional to no more than three proper sides using Julia Variational Techniques, and we then examine some of the possible examples of such functions to see what geometric conclusions can be made.
dc.publisherTexas Tech Universityen_US
dc.subjectGeometric function theoryen_US
dc.subjectCoefficient boundsen_US
dc.subjectUnivalent convex functionsen_US
dc.titleA sharp bound for the fourth coefficient for bounded convex functions

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