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Complex Analysis and Operator Theory

, Volume 11, Issue 1, pp 1–19 | Cite as

Integral Representations and Coefficient Estimates for a Subclass of Meromorphic Starlike Functions

  • Yong Sun
  • Yue-Ping Jiang
  • Antti RasilaEmail author
  • H. M. Srivastava
Article

Abstract

In this paper, we introduce a natural subclass of meromorphic starlike functions in the open unit disk. Results concerning subordination properties, integral representations, properties of convolutions, inclusion relationship and coefficient inequalities for the functions of this class are derived. Furthermore, we solve radius problems for certain related classes of meromorphic strongly starlike functions and meromorphic parabolic starlike functions.

Keywords

Analytic functions Univalent functions Starlike functions Meromorphic starlike functions Meromorphic strongly starlike functions Meromorphic parabolic starlike functions Principle of differential subordination Maximum modulus principle 

Mathematics Subject Classification

Primary 30C45 Secondary 30C50 

Notes

Acknowledgments

Research was supported by the National Natural Science Foundation of the People’s Republic of China, Grant No. 11371126. A. Rasila received partial support from Academy of Finland (No. 289576). The authors would like to thank the referees for their valuable comments and suggestions, which essentially improved the quality of this paper.

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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.School of Mathematics and EconometricsHunan UniversityChangshaPeople’s Republic of China
  2. 2.Department of Mathematics and Systems AnalysisAalto UniversityAaltoFinland
  3. 3.Department of Mathematics and StatisticsUniversity of VictoriaVictoriaCanada
  4. 4.China Medical UniversityTaichungRepublic of China

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