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On the radius of univalence and convexity for some classes of analytic functions

Title
On the radius of univalence and convexity for some classes of analytic functions
Authors
김지희
Issue Date
1987
Department/Major
대학원 수학과
Keywords
radiusconvexityanalytic functions
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
In this thesis, we consider the problem of finding the radius of univalence for functions f(z) = z+a_(2)z^(2)+..., which are analytic and satisfy Re {f(z)/g(z)}>0 for │z│<1, where g(z) = z+b_(2)z^(2)+... is analytic and univalent for │z│<1. By observing Macgregor's paper, we determine the largest circle │z│½ for │z│<1 is convex in │z│
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일반대학원 > 수학과 > Theses_Master
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