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On the Fekete-Szegö problem for analytic functions defined by using symmetric \(q\)-derivative operator. (English) Zbl 1387.30005

Summary: The aim of this paper is to establish the Fekete-Szegö inequalities for two new subclasses of analytic functions which are associated with symmetric \(q\)-derivative operator

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
05A30 \(q\)-calculus and related topics
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)