Bers slices in families of univalent maps

We construct embeddings of Bers slices ideal polygon reflection groups into the classical family univalent functions $\Sigma$. This embedding is such that conformal mating group with anti-holomorphic polynomial $z\mapsto\overline{z}^d$ Schwarz map arising from corresponding in characterize image this $\Sigma$ as a rational maps. Moreover, we show limit set every Kleinian closure slice naturally homeomorphic to Julia an polynomial.