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

Year 2018, Volume: 47 Issue: 5, 1156 - 1171, 16.10.2018

Yi-hui Xu Jin-lin Liu

Abstract

Two new subclasses $Q_{p,k}(\lambda, A,B)$ and $G_{p,k}(\lambda, A,B)$ of analytic and $p$-valent functions which are starlike with respect to $k$-symmetric points are introduced. Distortion bounds, inclusion relations, integral transforms and convolution properties for these classes are studied.

Keywords

Analytic function, convolution, subordination, distortion bound, inclusion relation, integral transform, symmetric point

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