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New upper bounds of the third Hankel determinant for some classes of univalent functions

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arxiv 1911.10770 v3 pith:J7SARIOX submitted 2019-11-25 math.CV

Milutin Obradovic , Nikola Tuneski This is my paper · ORCID
classification math.CV
keywords boundsclassesdeterminantfunctionshankelsharpthirdunivalent
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In this paper we give improved, probably not sharp, upper bounds of the Hankel determinant of third order for various classes of univalent functions and conjecture the sharp one.

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  1. An improvement of the estimates of the modulus of the Hankel determinants of second and third order for the class $\mathcal{S}$ of univalent functions

    math.CV 2024-11 conditional novelty 4.0 of 10

    Using Grunsky coefficients, the authors prove new upper bounds |H2(2)| <= 1.3614... and |H3(1)| <= 1.6787... for the class S of univalent functions.

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