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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 4, Pages 58–61 (Mi vmumm84)

Short notes

Refinement of the Plessner theorem and Plessner points for arbitrary harmonic functions

S. L. Berberian

Russian-Armenian (Slavonic) State University, Yerevan

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.

UDC: 517.544.72+517.574

Received: 09.11.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:4, 169–172

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