The Sharp Coefficients and Hankel Determinants for a Novel Class RLP

Let RLP denote a newly introduced subclass of bounded turning functions. The primary aim of this study is to investigate the sharp bounds of the coefficients of |d2|,|d3|,|d4|,|d5|, as well as to establish precise estimates for the second- and third-order Hankel determinants H2,1,H2,2,H2,3, and H3,1 for functions belonging to this class. The coefficient bounds and Hankel determinant estimates derived herein are all shown to be sharp.