Acta mathematica scientia,Series B ›› 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

 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.

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

CLC Number: 

  • 32A10
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