on asymptotic values of functions in a polydisk domain and bagemihl’s theorem
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ID: 144889
2015
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Abstract
Asymptotic sets of functions in a polydisk domain of arbitrary connectivity are studied. We construct an example of such function, having preassigned asymptotic set. This result generalizes well-known examples, obtained by M. Heins and W. Gross for entire functions. Moreover, it is found out that not all results on asymptotic sets of functions in C can be extended to functions in C^n. In particular, this fact is connected with the failure of Bagemihl's theorem on ambiguous points for functions in R^n, n≥3.
| Reference Key |
ganenkova2015problemyon
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|---|---|
| Authors | ;E. G. Ganenkova |
| Journal | terrestrial, atmospheric and oceanic sciences |
| Year | 2015 |
| DOI |
10.15393/j3.art.2015.2951
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