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THE INITIAL CONDITIONS
SOME AREA THEOREMS
14 other sections not shown
a-convex Alexander's Theorem Chapter circle coefficients complex plane conjecture Conversely convex domain convex function convex polygon convex set curve CV(a CV(i CVSP(a defined in Problem Definition denote the set Eenigenburg Equality occurs extremal function extreme points f(Er fixed formula func function/(z Further gives half-plane Hence Hint inequality is sharp integral representation interior point inverse function Koebe function Let f(z line segment Maclaurin series maps Mocanu obtain odd function positive integer power series Problem 21 proof of Theorem Prove that if/(z Prove Theorem radius real axis real numbers regular and univalent results of Problems Robertson 1936 rotation satisfies the conditions Schwarz's Lemma sequence set of functions sharp bounds sharp upper SP(a ST(a ST(r starlike functions starlike with respect Stieltjes integral subset Suppose that f(z that/(z then/(z Theorem 11 Theorem 9 tion unit disk univalent functions upper bound w-plane