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

Year 2025, Volume: 14 Issue: 2, 697 - 712, 30.06.2025

Onur Akçiçek , Bilal Şeker

https://doi.org/10.17798/bitlisfen.1583030

https://izlik.org/JA96DD28AJ

Abstract

In this study, we initially established bounds for the logarithmic coefficients concerning a specific subclass of bounded turning functions R_℘ that are linked to the cardioid domain. For the functions belonging to this class, we identified sharp bounds for the second Hankel determinant of logarithmic coefficients, denoted as H_2,1 (F_f \/2). In conclusion, we computed the bounds of the third Hankel determinant of logarithmic coefficients H_3,1 (F_f \/2).

Keywords

Logarithmic coefficients , Hankel determinant , Bounded Turning Functions.

Ethical Statement

The study is compiled with research and publication ethics

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