ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (3): 388-392.

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

刘名生

Department of Mathematics, South China Normal University, Guangzhou 510631, China

出版日期:2002-07-15 发布日期:2002-07-15
基金资助:
The research is supported by NSF of Guangdong(980015) and NSF of China (19971029)

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

LIU Ming-Sheng

Department of Mathematics, South China Normal University, Guangzhou 510631, China

Online:2002-07-15 Published:2002-07-15
Supported by:
The research is supported by NSF of Guangdong(980015) and NSF of China (19971029)

摘要/Abstract

摘要：

In this paper, the new subclass Bn(,,A,B) of analytic functions is introduced.Its subordination relations, inclusion relations, the inequality properties andconvering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.

关键词: Bazilevic function, subordination, bound

Abstract:

In this paper, the new subclass Bn(, ,A,B) of analytic functions is introduced.Its subordination relations, inclusion relations, the inequality properties andconvering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.

Key words: Bazilevic function, subordination, bound

中图分类号:

30C45

刘名生. ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION[J]. 数学物理学报(英文版), 2002, 22(3): 388-392.

LIU Ming-Sheng. ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION[J]. Acta mathematica scientia,Series B, 2002, 22(3): 388-392.

[1]	彭志刚, 刘伦刚. EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS[J]. 数学物理学报(英文版), 2000, 20(1): 131-136.
[2]	彭志刚. THE SUPPORT POINTS AND EXTREME POINTS OF THE UNIT BALL OF H'_P~ 1[J]. 数学物理学报(英文版), 1999, 19(2): 181-189.

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

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