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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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