Second Hankel determinant for Mocanu type bi-starlike functions related to shell-shaped region

Abstract

In this paper, we investigate the coefficient bound estimates, second Hankel determinant, and Fekete–Szegö inequality for the analytic bi-univalent function class, which we call Mocanu type bi-starlike functions, related to a shell-shaped region in the open unit disk in the complex plane. Some interesting special cases of the results are also discussed.