The Second Hankel Determinant of Logarithmic Coefficients for Strongly Ozaki Close-to-Convex Functions

The aim of this paper is to determine sharp bound for the second Hankel determinant of logarithmic coefficients H_2,1(F_f/2) of strongly Ozaki close-to-convex functions in the open unit disk. Furthermore, sharp bound of H_2,1(F_f^-1/2) , where f^-1 is the inverse function of f , is also computed. The results show an invariance property of the second Hankel determinants of logarithmic coefficients H_2,1(F_f/2) and H_2,1(F_f^-1/2) for strongly convex functions.