Properties for Certain Subclass of Analytic Functions Involving Carlson-Shaﬀer Operators

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 245-250.

Properties for Certain Subclass of Analytic Functions Involving Carlson-Shaﬀer Operators

1. Foundation Department, Guangzhou Civil Aviation College2. School of Mathematical Sciences, South China Normal University

Received:2007-12-01 Online:2011-06-30 Published:2023-05-04
About author:LI Zong-tao(1970-), male, native of Taian, Shandong, a lecturer of Guangzhou Civil Aviation College, engages in theory of functions; LIU Ming-sheng(1965-), male, native of Dayu, Jiangxi, a professor of South China Normal University, Ph.D., engages in complex analysis.
Supported by:
Supported by the Doctoral Foundation of the Education Committee of China(20050574002)；

Abstract

Abstract: Let H_n(p) be the class of functions of the form f(z)=z^p+..., which are analytic in the open unit disk U={z:|z|<1}. In the paper, we introduce a new subclass B_n(μ,a,c,α,p;φ) of H_n(p) and investigate its subordination relations, inclusion relations and distortion theorems. The results obtained include the related results of some authors as their special case.

Key words: analytic functions, subordination, hadamard product, integral operators; Carlson-Sha?er operators

CLC Number:

O174.51

LI Zong-tao, LIU Ming-sheng. Properties for Certain Subclass of Analytic Functions Involving Carlson-Shaﬀer Operators[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 245-250.

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Properties for Certain Subclass of Analytic Functions Involving Carlson-Shaﬀer Operators

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