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

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