On the difference of initial logarithmic coefficients for the class of univalent functions

Abstract

In this paper we give estimates of the differences $|\gamma_3|-|\gamma_2|$ and $|\gamma_4|-|\gamma_3|$ for the class of functions $f$ univalent in the unit disc and normalized by $f(0)=f'(0)-1=0$. Here, $\gamma_{2}$, $\gamma_{3}$ and $\gamma_{4}$ are the initial logarithmic coefficients of the function $f$.