On estimation of Hankel determinants for certain class of starlike functions

In the present study, we consider two subclasses of starlike and convex functions, denoted by S & lowast;(B) and C-B respectively, associated with a bean-shaped domain. Further, we estimate certain sharp initial coefficients, as well as second, third and fourth-order Hankel determinants for functions belonging to the class S & lowast;(B). Additionally, we compute sharp second and third-order Hankel determinants for functions belonging to the class C-B.