Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Citado por Google
- Similares en SciELO
- Similares en Google
Compartir
Revista Colombiana de Matemáticas
versión impresa ISSN 0034-7426
Resumen
ARBELAEZ, HUGO y MEJIA, DIEGO. On Spherical Invariance. Rev.colomb.mat. [online]. 2011, vol.45, n.1, pp.97-112. ISSN 0034-7426.
In 1964 Pommerenke introduced the notion of linear invariant family for locally injective analytic functions defined in the unit disk of the complex plane. Following Ma and Minda (who extended this notion to spherical geometry), we consider in this paper locally injective meromorphic functions in the unit disk. More precisely, we study families of such functions for which a certain invariant, called spherical order, is finite. Several consequences on the finiteness of the spherical order are explored, in particular the connection with the Schwarzian and normal orders, and with uniform perfectness.
Palabras clave : Spherical invariance; Spherical order; Schwarzian derivative; Normal function; Uniformly perfect.