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Convolution properties of a class of bounded analytic functions

Published online by Cambridge University Press:  17 April 2009

Zou Zhongzhu  and
Shigeyoshi Owa
Zou Zhongzhu
Affiliation:
Department of Mathematics, Huaihua Teachers' College, Hunan 418008 People's, Republic of China
Shigeyoshi Owa
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, Japan
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Abstract

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Let A be the class of functions f(z) which are analytic in the unit disk U with f(0) = f′(0) - 1 = 0. A subclass S(λ, M) (λ > 0, M > 0) of A is introduced. The object of the present paper is to prove some interesting convolution properties of functions f(z) belonging to the class S(λ, M). Also a certain integral operator J for f(z) in the class A is considered.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 1 , February 1992 , pp. 9 - 23
Copyright
Copyright © Australian Mathematical Society 1992

References

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