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Generalized subclass of regular functions related to α-close-to-convex functions

Title
Generalized subclass of regular functions related to α-close-to-convex functions
Authors
오명선
Issue Date
1990
Department/Major
대학원 수학과
Publisher
이화여자대학교 대학원
Degree
Doctor
Abstract
α-close-to-convex 함수에 관련된 새로운 함수족 M_α_,_λ와 C_α(γ,σ)를 도입하였다. 이 두함수족에 관해서 우리는 포함관계, 적분 표시 공식, 계수 문제와 함수의 유계치를 유도하였다. 더 나아가서 우리는 함수족 M_α_,_λ와 C_α(γ,σ)에 대해 convex 반경에 관한 결과를 얻었다. 또한 C(γ,σ)에 속하는 함수에 대해서는 α-close-to-convex of order γ and type σ가 되기위한 반경을 계산하였다. ; Two new classes M_α_,_λ and C_α(γ,σ) related to α-close-to-convex functions are introduced. For those two classes we derive inclusion relations, the integral representation formulas, coefficient estimates and distortion bounds. Moreover we obtain some results concerning the radius of convexity for the classes M_α_,_λ and C_α(γ,σ), respectively. We have the radius of α-close-to-convexity for functions f(z) K C(γ,σ)
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일반대학원 > 수학과 > Theses_Ph.D
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