On certain multivalent analytic functions starlike with respect to $k$-symmetric points

Authors : Yihui XU, Jinlin LİU

Pages : 1156-1171

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Publication Date : 2018-10-16

Article Type : Research Paper

Abstract :Two new subclasses $Q_{p,k}insert ignore into journalissuearticles values(\lambda, A,B);$ and $G_{p,k}insert ignore into journalissuearticles values(\lambda, A,B);$ of analytic and $p$- valent functions which are starlike with respect to $k$-symmetric points are introduced. Distortion bounds, inclusion relations, integral trans forms and convolution properties for these classes are studied.
Keywords : Analytic function, convolution, subordination, distortion bound, inclusion relation, integral transform, symmetric point