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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
- radius; convexity; analytic 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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