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Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions

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  • Ming-Sheng Liu
  • Jun-Feng Xu
  • Ming Yang

Abstract

In this present investigation, we first give a survey of the work done so far in this area of Hankel determinant for univalent functions. Then the upper bounds of the second Hankel determinant |a2a4−a32| for functions belonging to the subclasses S(α, β), K(α, β), Ss∗(α,β), and Ks(α, β) of analytic functions are studied. Some of the results, presented in this paper, would extend the corresponding results of earlier authors.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:603180
DOI: 10.1155/2014/603180
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