Sharp coefficient inequalities of starlike functions connected with secant hyperbolic function

This article comprises the study of class S that represents the class of normalized analytic functions f satisfying ςf(z)/f(ς)≺sech(ς). The geometry of functions of class S is star-shaped, which is confined in the symmetric domain of a secant hyperbolic function. We find sharp coefficient results and sharp Hankel determinants of order two and three for functions in the class S. We also investigate the same sharp results for inverse coefficients.