Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 388-392.

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ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

 LIU Ming-Sheng   

  1. 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)

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

CLC Number: 

  • 30C45
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