Sharp Upper Bound on Hankel Determinant H3,2 for the Class SL*

Dong Guo; Xi Luo; Xin Wang; En Ao; Huo Tang; Qingbing Xu

doi:10.20944/preprints202608.1309.v1

Submitted:

17 August 2026

Posted:

19 August 2026

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Sharp Upper Bound on Hankel Determinant H_3,2 for the Class SL*

Dong Guo^*

,Xi Luo,Xin Wang,En Ao,Huo Tang,Qingbing Xu^*

Dong Guo^*

,Xi Luo,Xin Wang,En Ao,Huo Tang,Qingbing Xu^*

Submitted:

17 August 2026

Posted:

19 August 2026

You are already at the latest version

Abstract

In the article, a subclass of Starlike functions linked with Bernoulli,s lemniscate is studied in the unit disc. The bounds of H_3,2 Hankel determinant, the sixth coefficient |b₆| and the Zalcman functionals for the class SL* are obtained. The results are sharp.

Keywords:

univalent functions

;

Starlike functions

;

Hankel determinant

;

Bernoulli's lemniscate

;

Zalcman functional

;

Schwarz function

Subject:

Computer Science and Mathematics - Analysis

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