Automorphic Carathéodory-Julia Theorem

Alexander Kheifets

Let $w(\zeta )$ be a function analytic on $\mathbb{D}$, $|w(\zeta )|\le 1$. Let $|t_0|=1$. Assume that $w$ and $w^{\prime }$ have nontangential boundary values $w_0$ and $w_0^{\prime }$, respectively, at $t_0$…