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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 5, Pages 3–11 (Mi ivm8890)
This article is cited in 1 paper

On boundary points of arbitrary harmonic functions

S. L. Berberyan

Chair of Mathematics and Mathematical Modeling, Russian-Armenian (Slavonic) University, 123 Ovsep Emin str., Yerevan, 0051 Republic of Armenia

Abstract: The article deals with the Lindelöf and Fatou points of arbitrary harmonic functions defined on the until circle. We present the necessary and sufficient conditions for the existence of such points on the unit circle.

Keywords: harmonic functions, Lindelöf points, Fatou points, non-Euclidean circles, normal functions, $P$-sequence, $P'$-sequence.

UDC: 517.538

Received: 06.11.2012


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:5, 1–7

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