Some properties for α-starlike functions with respect to k-symmetric points of complex order

Abstract

In the present work, we introduce the subclass Tkγ,α(φ), of starlike functions with respect to k-symmetric points of complex order γ (γ≠0) in the open unit disc △. Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.

Authors and Affiliations

H. E. Darwish, A. Y. Lashin, S. M. Sowileh

Keywords

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  • EP ID EP304554
  • DOI 10.17951/a.2017.71.1.1
  • Views 159
  • Downloads 0

How To Cite

H. E. Darwish, A. Y. Lashin, S. M. Sowileh (2017). Some properties for α-starlike functions with respect to k-symmetric points of complex order. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 71(1), 1-9. https://europub.co.uk/articles/-A-304554