Wiman and Arima theorems for quasiregular mappings

: Vuorinen Matti, Martio O, Miklyukov V

: 2010

: Journal of Inequalities and Applications

: null

: 2010

: null

: 29

: 1025-5834

DOI: https://doi.org/10.1155/2010/604217

: http://api.elsevier.com/content/abstract/scopus_id:77953508428

Wiman's theorem says that an entire holomorphic function of order less than 1/2 has a minimum modulus converging to ∞ along a sequence. Arima's theorem is a refinement of Wiman's theorem. Here we generalize both results to quasiregular mappings in the manifold setup. The so called fundamental frequency has an important role in this study. Copyright © 2010 O. Martio et al.