The Fekete–Szegö problem for k-uniformly convex functions and for a class defined by the Owa–Srivastava operator |
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| Authors: | A.K. Mishra P. Gochhayat |
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| Affiliation: | aBerhampur University, Department of Mathematics, Bhanja Bihar, 760007 Berhampur, Ganjam, Orissa, India |
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| Abstract: | By making use of a fractional differential operator due to Owa and Srivastava, a subclass of analytic functions related to k-uniformly convex functions, is introduced. For this class and in particular for the class of k-uniformly convex functions the Fekete–Szegö problem is completely solved. |
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| Keywords: | k-Uniformly convex function Elliptic integral Hadamard product Fractional derivative Fekete– Szegö problem |
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