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Growth Theorems for a Subclass of Strongly Spirallike Functions

Author

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  • Yan-Yan Cui
  • Chao-Jun Wang
  • Si-Feng Zhu

Abstract

In this paper we consider a subclass of strongly spirallike functions on the unit disk in the complex plane , namely, strongly almost spirallike functions of type and order . We obtain the growth results for strongly almost spirallike functions of type and order on the unit disk in by using subordination principles and the geometric properties of analytic mappings. Furthermore we get the growth theorems for strongly almost starlike functions of order and strongly starlike functions on the unit disk of . These growth results follow the deviation results of these functions.

Suggested Citation

  • Yan-Yan Cui & Chao-Jun Wang & Si-Feng Zhu, 2014. "Growth Theorems for a Subclass of Strongly Spirallike Functions," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, August.
  • Handle: RePEc:hin:jnljam:608641
    DOI: 10.1155/2014/608641
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