Some extremal bounds for subclasses of univalent functions |
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| Authors: | Agnieszka Wi?niowska-Wajnryb |
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| Institution: | Department of Mathematics, Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland |
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| Abstract: | In this paper we obtain the sharp lower bound for  , for functions f that are k-uniformly convex in the unit disk U. Next we consider the problem of finding the minimum of  for functions f that are k-uniformly convex in the disk of radius r. Corresponding results for the class of starlike functions related to the class of k-uniformly convex functions are presented. |
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| Keywords: | Starlike functions Convex functions k-Uniformly convex functions Conic domain |
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