Analytic in planar domains functions with preassigned asymptotic set

• Autorzy: Ganenkova E. G , Starkov V. V

Identyfikatory

DOI

10.1515/jaa-2014-0002

• Języki publikacji: EN

Abstrakty

EN

In 1954 M. Heins proved that, for every analytic set A containing the infinity, there exists an entire function whose set of asymptotic values at the infinity equals A. We obtain analogs of this result for functions analytic in planar domains of arbitrary connectivity.

Słowa kluczowe

EN

asymptotic value; analytic sets

PL

wartość asymptotyczna; zbiór analityczny

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2014
• Tom: Vol. 20, nr 1
• Strony: 7--14
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Ganenkova E. G

• Faculty of Mathematics Petrozavodsk State University, 185640 Petrozavodsk, Russia

autor

Starkov V. V

• Faculty of Mathematics Petrozavodsk State University, 185640 Petrozavodsk, Russia

Bibliografia

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