THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS

Dong Guo; Zongtao Li; Xi Luo; Xiulian Fu

doi:10.11948/20250188

2027 Volume 17 Issue 2

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Dong Guo, Zongtao Li, Xi Luo, Xiulian Fu. THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2027, 17(2): 1038-1063. doi: 10.11948/20250188

Citation:

Dong Guo, Zongtao Li, Xi Luo, Xiulian Fu. THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2027, 17(2): 1038-1063. doi: 10.11948/20250188

THE SHARP BOUNDS OF HANKEL DETERMINANTS AND HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR STARLIKE AND CONVEX FUNCTIONS ASSOCIATED WITH GREGORY COEFFICIENTS

1.
School of Mathematical Sciences, Yangzhou Polytechnic College, 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
4.
School of Computer and Information Engineering, Guangdong Polytechnic of Industry and Commerce, Guangzhou, Guangdong 510510, China

Author Bio: Email: lizt2046@163.com(Z. Li); Email: luoxi19810000@163.com(X. Luo); Email: 261863372@qq.com(X. Fu)
Corresponding author: Email: gd791217@163.com(D. Guo)

Abstract

Abstract

For some subclasses of Starlike and Convex functions associated with Gregory coefficient, the sharp upper bounds for the second Hankel determinant and the third-order Hankel determinant and Hankel determinant $ \mathcal H_{2,1}(G_g/2) $ and $ \mathcal H_{2,2}(G_g/2) $ with a logarithmic coeffcient are computed.
- Analytic functions /
- univalent functions /
- starlike functions /
- convex functions /
- Gregory coefficients /
- logarithmic coefficients
MSC: 30C45, 30C50

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References

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