Geodesic
Some properties for \(\alpha\)-starlike functions with respect to \(k\)-symmetric points of complex order
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 71 (2017) no. 1.

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In the present work, we introduce the subclass 𝒯_γ ,α^k(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.
Keywords: Analytic functions, starlike functions of complex order, convex functions of complex order, \(\alpha\)-starlike, \(k\)-symmetric points, subordination 
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Darwish, H. E.; Lashin, A. Y.; Sowileh, S. M. Some properties for \(\alpha\)-starlike functions with respect to \(k\)-symmetric points of complex order. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 71 (2017) no. 1. http://geodesic.mathdoc.fr/item/AUM_2017_71_1_a5/

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