Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On a Class of Analytic Functions Related to the Starlike Functions

  • Gao, Chunyi (College of Mathematics and Computing Science, Changsha University of Science and Technology) ;
  • Zhou, Shiqiong (College of Mathematics and Computing Science, Changsha University of Science and Technology)
  • Received : 2004.01.12
  • Published : 2005.03.23
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Abstract

In this paper we discuss a class of analytic functions related to the starlike functions in the unit disk. We prove that this class belongs to the class of close-to-convex functions, we obtain the sharp coefficient upper bounds and distortion theorem of this class, we also get the convexity radius of this class.

Keywords

Acknowledgement

Supported by : Hunan Provincial Education Department

References

  1. J. Math. Soc. Japan v.11 On a certain univalent mapping Sakaguchi, K.
  2. Indian J. pure appl. Math. v.11 no.3 On starlike functions with respect to symmetric points Thangamani, J.