Wiman and Arima Theorems for Quasiregular Mappings

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...

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Bibliographic Details
Main Authors: O. Martio, V. M. Miklyukov, M. Vuorinen
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/604217