数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 435-443.doi: 10.1016/S0252-9602(14)60017-5

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UNIFORMLY STARLIKE MAPPINGS AND UNIFORMLY CONVEX MAPPINGS ON THE UNIT BALL Bn

冯淑霞|刘太顺   

  1. Institute of Contemporary Mathematics, School of Mathematics and Information Science, Henan University, Kaifeng 475004, China; Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
  • 收稿日期:2012-08-22 出版日期:2014-03-20 发布日期:2014-03-20
  • 基金资助:

    The first author is supported by the NNSF of China (11001074, 11061015, 11101124) and the Foundation for University Young Key Teacher of Henan Province.

UNIFORMLY STARLIKE MAPPINGS AND UNIFORMLY CONVEX MAPPINGS ON THE UNIT BALL Bn

 FENG Shu-Xia, LIU Tai-Shun   

  1. Institute of Contemporary Mathematics, School of Mathematics and Information Science, Henan University, Kaifeng 475004, China; Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
  • Received:2012-08-22 Online:2014-03-20 Published:2014-03-20
  • Supported by:

    The first author is supported by the NNSF of China (11001074, 11061015, 11101124) and the Foundation for University Young Key Teacher of Henan Province.

摘要:

In this article, we extend the definition of uniformly starlike functions and uni-formly convex functions on the unit disk to the unit ball in Cn, give the discriminant criterions for them, and get some inequalities for them.

关键词: Uniformly starlike mappings, uniformly convex mappings, the unit ball

Abstract:

In this article, we extend the definition of uniformly starlike functions and uni-formly convex functions on the unit disk to the unit ball in Cn, give the discriminant criterions for them, and get some inequalities for them.

Key words: Uniformly starlike mappings, uniformly convex mappings, the unit ball

中图分类号: 

  • 32A10