Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative

Abstract

By making use of the fractional differential operator Ωzλ due to Owa and Srivastava, a class of analytic functions ℛλ(α,ρ) (0≤ρ≤1, 0≤λ<1, |α|<π/2) is introduced. The sharp bound for the nonlinear functional |a2a4−a32| is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.