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arXiv · 2606.11325

Logarithmic Inverse Coefficients and Moduli Differences of Janowski Class

Chayani Dhara·Nirupam Ghosh
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Abstract

In this paper, we study the sharp bounds of the first three logarithmic inverse coefficients for Janowski convex class $\mathcal{C}(A, B)$. We also derive sharp upper and lower bounds of $\bigl|\,\gamma_2 \,\bigr|-\bigl|\,\gamma_1\,\bigr|$ and $\bigl|\,\Gamma_2 \,\bigr|-\bigl|\,\Gamma_1\,\bigr|$ for functions in the class $\mathcal{C}(A, B)$. Furthermore, a sharp estimate for the second Hankel determinant associated with the logarithmic inverse coefficients for functions in $\mathcal{C}(A, B)$ is obtained.

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Chayani Dhara, Nirupam Ghosh. 2026-06-09. Logarithmic Inverse Coefficients and Moduli Differences of Janowski Class. https://arxiv.org/abs/2606.11325

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