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HADAMARD PRODUCT ON THE SUBCLASSES OF UNIVALENT FUNCTIONS

Title
HADAMARD PRODUCT ON THE SUBCLASSES OF UNIVALENT FUNCTIONS
Authors
김옥주
Issue Date
1990
Department/Major
대학원 수학과
Publisher
이화여자대학교 대학원
Degree
Master
Advisors
이석영
Abstract
이 논문에서 우리는 단엽함수의 부분함수족 중, S^(*)(α), C(α), K(β,γ), C^(*)(β,γ), S^(*)[A,B], C[A,B], K[A,B;C,D], C^(*)[A,B;C,D]에 대하여 Hadamard product 위에서의 함수성질들을 연구한다. 또한, 우리는 Hadamard product의 응용으로써 다른 convolution 연산자의 몇몇 성질도 또한 알아본다.;In this thesis, we investigate the mapping properties on Hadamard product for the subclasses of univalent functions, S^(*)(α), C(α), K(β,γ), C^(*)(β,γ), S^(*)[A,B], C[A,B], K[A,B;C,D) and C^(*)[A,B;C,D]. Further, we study some properties of Ruscheweyh derivative and integral convolution operator as the application of Hadamard product.
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