Some properties of two subclasses of k-fold symmetric functions associated with Srivastava–Attiya operator

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摘要

In the present paper, by using the Srivastava–Attiya operator, we define two new subclasses of k-fold symmetric analytic functions. Some interesting properties of these subclasses such as integral representations, extreme points, close convex hulls and subordinations are obtained, which generalize and refine some previous results.

论文关键词:Univalent functions,Starlike functions,Convex functions,Extreme points,Close convex hulls,Srivastava–Attiya operator,Differential subordination,Best dominant

论文评审过程:Available online 25 March 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.03.080