Some properties of two subclasses of k-fold symmetric functions associated with Srivastava-Attiya operator |
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Authors: | Shao-Mou Yuan Zai-Ming Liu |
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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 |
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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. |
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Keywords: | Univalent functions Starlike functions Convex functions Extreme points Close convex hulls Srivastava-Attiya operator Differential subordination Best dominant |
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