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

Dong Guo; Zongtao Li; Xi Luo

doi:10.11948/20250245

2027 Volume 17 Issue 2

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Dong Guo, Zongtao Li, Xi Luo. HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2027, 17(2): 1351-1373. doi: 10.11948/20250245

Citation:

Dong Guo, Zongtao Li, Xi Luo. HANKEL DETERMINANTS OF INVERSE FUNCTIONS AND INVERSE LOGARITHMIC COEFFICIENTS FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2027, 17(2): 1351-1373. doi: 10.11948/20250245

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

1.
School of Mathematical Sciences, Yangzhou Polytechnic University, Yangzhou, Jiangsu 225009, China
2.
School of Public Basic Education, Guangzhou Civil Aviation College, Guangzhou, Guangdong 510403, China
3.
School of Mathematics, Jiaying University, Jiaying, Guangdong 514015, China

Author Bio: Email: lizt2046@163.com(Z. Li); Email: luoxi19810000@163.com(X. Luo)
Corresponding author: Email: gd791217@163.com(D. Guo)

Abstract

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.
- Analytic functions /
- univalent functions /
- Hankel determinants /
- starlike functions with respect to symmetric points /
- logarithmic coefficients /
- sigmoid functions /
- three-leaf-shaped region /
- inverse functions
MSC: 30C45, 30C50

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References

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