Second Hankel determinant for a class of analytic functions defined by fractional derivative (Q938496)

Summary: By making use of the fractional differential operator \(\Omega_z^\lambda\) due to Owa and Srivastava, a class of analytic functions \({\mathcal R}_\lambda(\alpha,\rho)\) \((0\leq\rho\leq1\), \(0\leq\lambda<1\), \(|\alpha|<\pi/2)\) is introduced. The sharp bound for the nonlinear functional \(|a_2a_4-a_3^2|\) is found. Several basic properties such as inclusion, subordination, integral transform, Hadamard product are also studied.