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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2022 Number 5, Pages 26–32 (Mi ivm9772)

Meyer points and refined Meyer points for arbitrary harmonic functions

S. L. Berberyan

Russian-Armenian (Slavonic) University, 123 Ovsep Emin str., Yerevan, 0051, Republic of Armenia

Abstract: In this paper we study the Meyer points and the refined Meyer points for arbitrary harmonic functions defined in the unit circle. We also consider the representation of points of the set $M(f)$.

Keywords: harmonic functions, Meyer points, refined Meyer points, $P^\prime$-sequence, normal chord.

UDC: 517.538

Received: 28.07.2021
Revised: 17.08.2021
Accepted: 23.12.2021

DOI: 10.26907/0021-3446-2022-5-26-32


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:5, 21–25


© Steklov Math. Inst. of RAS, 2024