International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 153280, 10 pages
Second Hankel Determinant for a Class of Analytic Functions Defined by Fractional Derivative
Department of Mathematics, Berhampur University, Bhanja Bihar, Berhampur 760 007, Orissa, India
Received 4 April 2007; Accepted 21 November 2007
Academic Editor: Vladimir Mityushev
Copyright © 2008 A. K. Mishra and P. Gochhayat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By making use of the fractional differential
operator due to Owa and Srivastava, a class of
analytic functions 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.