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, \({}_r\phi_s\) |