Given alpha epsilon [0, 1], let g(alpha)(z) := z/(1 - alpha z)(2), z epsilon D := {z epsilon C : vertical bar z vertical bar 0, z epsilon D. For the class C(g(alpha)) of all close-to-convexfunctions with respect to ...
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Given alpha epsilon [0, 1], let g(alpha)(z) := z/(1 - alpha z)(2), z epsilon D := {z epsilon C : vertical bar z vertical bar < 1}. An analytic standardly normalized function f in D is called close-to-convex with respect to g(alpha) if there exists delta epsilon (-pi/2,pi/2) such that Re {e(i delta)zf'(z)/g(alpha)(z)} > 0, z epsilon D. For the class C(g(alpha)) of all close-to-convexfunctions with respect to g(alpha), the Fekete-Szego problem is studied.
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