Sharp coefficient inequalities of starlike functions connected with secant hyperbolic function

This article comprises the study of class SE S E ∗ that represents the class of normalized analytic functions satisfying f(z)/f( ) h ( ) ς f ′ ( z ) / f ( ς ) ≺ sec h ( ς ) . The geometry of functions of class SE S E ∗ 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 SE S E ∗ . We also investigate the same sharp results for inverse coefficients.