On Coefficient Problems for Starlike and Convex Functions Associated with a Strip Domain

This paper introduces a novel class of convex functions associated with a strip domain and establishes the upper bounds for the coefficients of initial terms, as well as second and third-order Hankel determinants. It provides exact upper bounds for the third-order Hankel determinants of both the inverse of starlike functions and convex functions, along with the upper bounds for the second-order Hankel determinants of the logarithmic coefficients related to these functions.