ASYMPTOTIC VALUES OF FUNCTIONS, ANALYTIC IN PLANAR DOMAIN

In [1] W. Gross constructed the example of an entire function of infinite order whose set of asymptotic values is equal to the extended complex plain. We obtain an analog of Gross' result for functions, analytic in planar domains of arbitrary connectivity with isolated boundary fragment.

Bibliographic Details
Main Authors: Starkov V.V., Ganenkova E.G.
Format: Article
Language:English
Published: Petrozavodsk State University 2013-01-01
Series:Проблемы анализа
Subjects:
Online Access:http://issuesofanalysis.petrsu.ru/files/pdf/2341.pdf