Wiman and Arima theorems for quasiregular mappings
Olli Martio, Vladimir M. Miklyukov, Matti K. Vuorinen
TL;DR
This paper extends classical theorems of Wiman and Arima, originally for entire functions, to the broader context of spatial quasiregular mappings, advancing the understanding of their growth and value distribution.
Contribution
It generalizes Wiman and Arima theorems from entire functions to spatial quasiregular mappings, providing new insights into their behavior.
Findings
Extended Wiman theorem to quasiregular mappings
Extended Arima theorem to quasiregular mappings
Established growth and value distribution properties
Abstract
Generalizations of the theorems of Wiman and of Arima on entire functions are proved for spatial quasiregular mappings.
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Taxonomy
TopicsAnalytic and geometric function theory · Meromorphic and Entire Functions · Holomorphic and Operator Theory