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Some properties of two subclasses of k-fold symmetric functions associated with Srivastava-Attiya operator
Authors:Shao-Mou Yuan  Zai-Ming Liu
Institution:a Department of Mathematics, Central South University, Changsha, Hunan 410075, PR China
b School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, PR China
Abstract: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.
Keywords:Univalent functions  Starlike functions  Convex functions  Extreme points  Close convex hulls  Srivastava-Attiya operator  Differential subordination  Best dominant
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