A1 Refereed original research article in a scientific journal
Wiman and Arima theorems for quasiregular mappings
Authors: Vuorinen Matti, Martio O, Miklyukov V
Publication year: 2010
Journal: Journal of Inequalities and Applications
Journal name in source: Journal of Inequalities and Applications
Number in series: null
Volume: 2010
Issue: null
Number of pages: 29
ISSN: 1025-5834
DOI: https://doi.org/10.1155/2010/604217
Web address : http://api.elsevier.com/content/abstract/scopus_id:77953508428
Abstract
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.
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.
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