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Fekete-Szegő problem for subclasses of generalized uniformly starlike functions with respect to symmetric points. (English) Zbl 1340.30087
In the first part the authors obtain upper bounds for the Fekete-Szegő functional $$| \mu \, a^{2}_{2}-a_{3} |$$ for a new class $$k-UST^{n}_{\lambda, \mu}(s,t,\gamma)$$ of analytic functions defined by using a Salagean type differential operator. They also study in the same sense the class $$k-UST^{n, g}_{\lambda, \mu}(s,t,\gamma)$$ and a subclass of it denoted by $$k-UST^{n, \tau}_{\lambda, \mu}(s,t,\gamma)$$ defined by using the fractional derivative and the Hadamard product.
Reviewer: Mugur Acu (Sibiu)
##### MSC:
 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30C50 Coefficient problems for univalent and multivalent functions of one complex variable
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