RUS  ENG
Full version
JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023 Number 3, Pages 15–23 (Mi vmumm4535)
Mathematics

Estimate for the least positive root of the harmonic function in a circle decomposed into sine series

T. Yu. Semenovaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics

Abstract: The problem of finding the smallest positive zero of a sine series of a harmonic function in a circle, represented on the boundary of the circle as a series with monotone coefficients, is solved.

Key words: sine series, monotone coefficients, harmonic functions.

UDC: 517

Received: 07.10.2022

DOI: 10.55959/MSU0579-9368-1-64-3-3


 English version: Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2023, 78:3, 120–129

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2025