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APPLICATIONS TO GEOMETRIC FUNCTION THEORY
LINEAR TRANSFORMATIONS BETWEEN DUAL SETS
4 other sections not shown
&uch 1+xz 1+yz AL-AMIRI analytic functions application of Theorem arbitrary f assertion assume assumption Bazilevic Bieberbach's conjecture Chapter characterization clearly close-to-convex functions compact and complete compact convergent condition conjecture consequence of Theorem contains convex hull convex univalent convolution Corollary 1.5 deduce dual set duality principle due to Sheil-Small Eenigenburg equivalent extremal problems fact Finite following theorem functions f GEOMETRIC FUNCTION THEORY gives Hadamard product Herglotz holds implies inequality invariance Jacobi polynomial Koebe function l+xz)a Lemma Let f linear accessible Mark KAC nonvanishing notation Note that Theorem omit the details operators particular polynomial prestarlike functions probability measure PROOF of Theorem properties prove Q is defined relation representation result follows satisfies second dual Sheil-Small 74 simple spiral-like starlike functions subordination chain T^ien test sets Theorem 2.1 Thzn unit disc univalent functions