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

https://izlik.org/JA32DJ25JR

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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