ASYMPTOTIC VALUES OF FUNCTIONS, ANALYTIC IN PLANAR DOMAINS

Journal Title: Проблемы анализа-Issues of Analysis - Year 2013, Vol 2, Issue 1

Abstract

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.

Authors and Affiliations

E. G. Ganenkova, V. V. Starkov

Keywords

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  • EP ID EP234549
  • DOI 10.15393/j3.art.2013.2341
  • Views 127
  • Downloads 0

How To Cite

E. G. Ganenkova, V. V. Starkov (2013). ASYMPTOTIC VALUES OF FUNCTIONS, ANALYTIC IN PLANAR DOMAINS. Проблемы анализа-Issues of Analysis, 2(1), 38-42. https://europub.co.uk/articles/-A-234549