The Fekete-Szegö problem for a class of analytic functions defined by Dziok-Srivastava operator

Erhan Deniz; Murat Çağlar; Halit Orhan

doi:10.2996/kmj/1352985448

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Keywords: Fekete-Szegö problem, k-uniformly convex function, k-parabolic starlike function, Conic domain, Hadamard product, Dziok-Srivastava operator

JOURNAL FREE ACCESS

2012 Volume 35 Issue 3 Pages 439-462

DOI https://doi.org/10.2996/kmj/1352985448

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Abstract

By using Dziok-Srivastava operator a new subclass of analytic functions generalized k-parabolic starlike functions, denoted by k–SP_l,m (α₁;γ), is introduced. For this class the Fekete-Szegö problem is completely solved. Various known or new special cases of our results are also point out.

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