2018-09-302018-09-302014-060022-247Xhttps://repositorio.minciencias.gov.co/handle/20.500.14143/22004We define the hyperbolic order of any locally injective holomorphic function between arbitrary hyperbolic domains of the complex plane and study the relation between the hyperbolic order and the Schwarzian derivative for locally injective holomorphic functions from the unit disk into itself.pdf12 páginasenginfo:eu-repo/semantics/embargoedAccessArtículo científico10.1016/2014.01.029Teoría de los númerosHyperbolic orderHyperbolic invarianceSchwarzian derivativeHyperbolically linearly connectedCombinaciones (matemáticas)Modelos matemáticosTeorías científicasGrupos de lieTopología algebraicaHomomorfismos