International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 153280, 10 pages
doi:10.1155/2008/153280

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.