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

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,...

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Bibliographic Details
Main Authors: A. K. Mishra, P. Gochhayat
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/153280
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