Second Hankel determinant of logarithmic coefficients of certain analytic functions

Abstract: We consider a family of all analytic and univalent functions (i.e., one-to-one) in the unit disk $\mathbb{D}:={z\in \mathbb{C}:|z|<1}$ of the form $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper, we obtain the sharp bounds of the second Hankel determinant of Logarithmic coefficients for some subclasses of analytic functions.