Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1699-1703.

• Articles • Previous Articles    

The Upper Bound of Second Order Item Coefficients of Homogeneous Expansion for Close-to-starlike Mappings

 CHANG Shui-Zhen1, LIU Hao2   

  1. 1.College of Mathematics |Science, |Luoyang |Normal |University, Henan Luoyang 471022;2.Contemporary Mathematics Institute, College of Mathematics and Information Science, Henan University, Henan Kaifeng 475001
  • Received:2008-10-20 Revised:2010-07-15 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金(10971219)资助

Abstract:

In this thesis, on the unit ball Bn in Cn, firstly,  the better upper bound of second order item coefficients of homogeneous expansion for normalized starlike mappings is attained; Secondly, with the properties of Loewner chains, the upper bound of second order item coefficients of homogeneous expansion for close-to-starlike mappings is  obtained.

Key words: Normal starlike mappings, Close-to-starlike mappings, Spirallike mappings relative to A, Estimate of homogeneous expansion

CLC Number: 

  • 32A30
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