ON ASYMPTOTIC VALUES OF FUNCTIONS IN A POLYDISK DOMAIN AND BAGEMIHL’S THEOREM

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 no...

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Bibliographic Details
Main Author: E. G. Ganenkova
Format: Article
Language:English
Published: Petrozavodsk State University 2015-12-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=2951&lang=en