Wiman and Arima Theorems for Quasiregular Mappings
O. Martio, V. M. Miklyukov, M. Vuorinen
Journal of Inequalities and Applications · 2010
doi:10.1155/2010/604217 (opens in a new tab)
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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.
Abstract licence: CC BY-NC-ND
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