Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 4, Pages 58–61 (Mi vmumm84)  
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Refinement of the Plessner theorem and Plessner points for arbitrary harmonic functions

S. L. Berberian

Russian-Armenian (Slavonic) State University, Yerevan
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Abstract: The well-known theorem of Plessner obtained for arbitrary harmonic functions by Japanese mathematician S. Yamashita is refined. In addition, one result obtained by Prof. V. I. Gavrilov for meromorphic functions is extended to harmonic functions.
Key words: unit circle, harmonic and holomorphic functions, the $P$ and $P'$ sequences, Plesner's and Fatou's points.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15Т-1А083
Ministry of Education and Science of the Russian Federation
Received: 09.11.2016
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 4, Pages 169–172
DOI: https://doi.org/10.3103/S0027132217040064
Bibliographic databases:
Document Type: Article
UDC: 517.544.72+517.574
Language: Russian
Citation: S. L. Berberian, “Refinement of the Plessner theorem and Plessner points for arbitrary harmonic functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4, 58–61; Moscow University Mathematics Bulletin, 72:4 (2017), 169–172
Citation in format AMSBIB
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