Browsing by Author "Hume, Casey R."
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Item A sharp bound for the fourth coefficient for bounded convex functions(2006-08) Hume, Casey R.; Barnard, Roger W.; Williams, G. Brock; Pearce, Kent; Korchagin, Anatoly; Solynin, Alexander Y.We 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.Item A sharp bound for the fourth coefficient for bounded convex functions(Texas Tech University, 2006-08) Hume, Casey R.; Williams, G. Brock; Barnard, Roger W.; Solynin, Alexander Y.; Korchagin, Anatoly; Pearce, KentWe 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.Item Generalized quadrilateral circle patterns(Texas Tech University, 2003-08) Hume, Casey R.Not available