Some properties of α-convex and α-quasiconvex functions with respect to n-symmetric points

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摘要

The main object of the present paper is to investigate α-convex and α-quasiconvex functions with respect to n-symmetric points. Some interesting properties such as inclusion relationships, integral representations, convolution conditions are obtained.

论文关键词：Starlike functions,Convex functions,α-Convex functions,α-Quasiconvex functions,Convolution,Differential subordination,n-Symmetric points

论文评审过程：Available online 28 November 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2006.10.060