Hankel Determinants of Logarithmic Coefficients for the Class of Bounded Turning Functions Associated with Lune Domain

Year 2025, Volume: 13 Issue: 2 , 72 - 83 , 26.06.2025

Bilal Şeker , Bilal Çekiç , Sevtap Sümer , Onur Akçiçek

https://doi.org/10.36753/mathenot.1592896

Cited By: 1

https://izlik.org/JA35FC82MZ

Abstract

In this paper, we first obtained some initial logarithmic coefficient bounds on a subclass of bounded turning functions $\mathcal{R}_{\mathcal{L}}$ related to a lune domain. For functions belonging to this class, we determined the sharp bounds for the second Hankel determinant of logarithmic coefficients $H_{2,1}\left( F_{f}/2\right) $ of bounded turning functions related to a lune domain. Finally, we calculated the bounds of third Hankel determinant of logarithmic coefficients $H_{3,1}\left( F_{f}/2\right)$ of bounded turning functions associated with a lune domain.

Keywords

Bounded Turning Functions , Hankel determinant , Logarithmic coefficients

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