HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS

For some subclasses of Starlike with respect to symmetric points, the sharp upper bounds of the third-order Hankel determinant of inverse functions and Hankel determinants of $ \mathcal H_{2,1}(G_{\Gamma^{-1}}/2) $ and $ \mathcal H_{2,2}(G_{\Gamma^{-1}}/2) $ with logarithmic inverse coefficients are obtained.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2026-10-17
DOI
https://doi.org/10.11948/20250245
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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article

HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS

Xi Luo, Dong Guo, Zongtao Li
Journal of Applied Analysis & Computation
Analytic and geometric function theory
article

HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS

Xi Luo, Dong Guo, Zongtao Li
article en

Abstract

For some subclasses of Starlike with respect to symmetric points, the sharp upper bounds of the third-order Hankel determinant of inverse functions and Hankel determinants of $ \mathcal H_{2,1}(G_{\Gamma^{-1}}/2) $ and $ \mathcal H_{2,2}(G_{\Gamma^{-1}}/2) $ with logarithmic inverse coefficients are obtained.

Journal of Applied Analysis & ComputationVol. 17(2)
Jiaying University (CN), Yangzhou Polytechnic Institute (CN), Shanghai Civil Aviation College (CN)
Openalex Percentile: Top 7%
Analytic and geometric function theory
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