- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 5
- On certain multivalent analytic functions starlike with respect to $k$-symmetric points
On certain multivalent analytic functions starlike with respect to $k$-symmetric points
Authors : Yi-hui Xu, Jin-lin Liu
Pages : 1156-1171
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Publication Date : 2018-10-16
Article Type : Research
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 trans forms and convolution properties for these classes are studied.Keywords : Analytic function, convolution, subordination, distortion bound, inclusion relation, integral transform, symmetric point