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

A. K. Mishra
P. Gochhayat

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Publication date

January 2008

DOI

10.1155/2008/153280

Publisher

Hindawi Limited

Journal

International Journal of Mathematics and Mathematical Sciences

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

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

Abstract

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

Abstract

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