On some new boundary properties of normal harmonic functions-Reference-Cited by-同舟云学术

On some new boundary properties of normal harmonic functions

Published:2023 Issue: Volume:56 Page:54-62
ISSN:2704-4963
Container-title:Mathematica Montisnigri
language:en
Short-container-title:MathMon

Author:

Berberyan Samvel¹,Dallakyan Rubik²

Affiliation:

1. Russian-Armenian (Slavonic) University, Yerevan, Armenia

2. National Polytechnic University of Armenia, Vanadzor, Armenia

Abstract

In this paper, some boundary properties of normal harmonic functions defined in the unit circle D are investigated. Similar results for meromorphic and holomorphic functions defined in D were considered in the works of Professor V. I. Gavrilov and other authors. Next, we consider the question of the existence of irregular points for harmonic functions

Publisher

Keldysh Institute of Applied Mathematics

Subject

General Medicine

Reference18 articles.

1. V.I. Gavrilov, “Predely po nepreryvnym krivym i po posledovatel'nostyam tochek normal'nykh meromorfnykh i obobshchennykh meromorfnykh v edinichnom kruge funkcij”, Vestnik MGU, Seriya 1, Matematika, Mekhanika, 1, 44-55 (1964).

2. F. Bagemihl, “Horocyclic boundary properties of meromorphic functions”, Annal. Acad. Scien. Fennicae, Ser. AI (385), 1-18 (1966).

3. V.I. Gavrilov “O granichnyh teoremakh edinstvennosti”, Izvestiya AN Arm. SSR, Matematika, 4(4), 244-258 (1969).

4. Z.H. Pavichevich, E. Shushich, “Primenenie ciklicheskikh svojstv dinamicheskikh sistem k izucheniyu granichnykh predelov proizvol'nykh funkcij”, Doklady RAN, 387(1), 16-18 (2002).

5. V.I. Gavrilov, Z.H. Pavichevich, “Granichnye osobennosti meromorfnykh funkcij s summiruemoj sfericheskoj proizvodnoj i annulyarnykh funkcij. Rassmotrenie”, Math. Montis., 51, 5-17 (2021).