Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Vijayalakshmi, S.P.; Sudharsan, T.V.; Breaz, Daniel; Subramanian, K.G.

doi:10.1515/auom-2017-0045

Abstract

Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑_n=2^∞ a_nzⁿ, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel determinant H₃(1) for two new subclasses of A.

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Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

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