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- W4385963637 abstract "The Hankel and Toeplitz determinants $H_{2,1}(F_{f^{-1}}/2)$ and $T_{2,1}(F_{f^{-1}}/2)$ are defined as: begin{align*} H_{2,1}(F_{f^{-1}}/2):= begin{vmatrix} Gamma_1 & Gamma_2 Gamma_2 & Gamma_3 end{vmatrix} ;;mbox{and} ;; T_{2,1}(F_{f^{-1}}/2):= begin{vmatrix} Gamma_1 & Gamma_2 Gamma_2 & Gamma_1 end{vmatrix} end{align*} where $Gamma_1, Gamma_2,$ and $Gamma_3$ are the first, second and third logarithmic coefficients of inverse functions belonging to the class $mathcal{S}$ of normalized univalent functions. In this article, we establish sharp inequalities $|H_{2,1}(F_{f^{-1}}/2)|leq 1/4$, $|H_{2,1}(F_{f^{-1}}/2)| leq 1/36$, $|T_{2,1}(F_{f^{-1}}/2)|leq 5/16$ and $|T_{2,1}(F_{f^{-1}}/2)|leq 145/2304$ for the logarithmic coefficients of inverse functions for the classes starlike functions and convex functions with respect to symmetric points. In addition, our findings are substantiated further through the incorporation of illustrative examples, which support the strict inequality and lend credence to our conclusions." @default.
- W4385963637 created "2023-08-18" @default.
- W4385963637 creator A5035238978 @default.
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- W4385963637 date "2023-08-03" @default.
- W4385963637 modified "2023-09-23" @default.
- W4385963637 title "Hankel and Toeplitz determinants of logarithmic coefficients of Inverse functions for certain classes of univalent functions" @default.
- W4385963637 doi "https://doi.org/10.48550/arxiv.2308.01548" @default.
- W4385963637 hasPublicationYear "2023" @default.
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