The Fekete–Szegö problem for subclasses of analytic functions defined by a differential operator related to conic domains

By using a linear multiplier fractional differential operator a new subclass of analytic functions generalized ββ-uniformly convex functions, denoted by β-SPλ,μn,α(γ), is introduced. For this class the Fekete–Szegö problem is completely solved. Various known or new special cases of our results are also pointed out.