A sharp bound for the fourth coefficient for bounded convex functions
Hume, Casey R.
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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.