Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions

Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions

Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Z...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2024-05, Vol.2024, p.1-12
Hauptverfasser: Guo, Dong, Tang, Huo, Zhang, Jun, Xu, Qingbing, Li, Zongtao
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Convex analysis
Functionals
Inequality
Linear equations
Logarithms
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Zusammenfassung:Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Zalcman functional J2,4f and J3,3f for the class ST1.
ISSN:2314-4629
2314-4785
DOI:10.1155/2024/1315252