HANKEL DETERMINANTS OF LOGARITHMIC COEFFICIENTS FOR THE CLASS OF BOUNDED TURNING FUNCTIONS ASSOCIATED WITH CARDIOID DOMAIN

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 𝐻2,1(𝐹𝑓/2). In conclusion, we computed the bounds of the third Hankel determinant of logarithmic coefficients 𝐻3,1(𝐹𝑓/2).