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Algebra i Analiz, 2021, Volume 33, Issue 2, Pages 82–97 (Mi aa1749)  
This article is cited in 3 scientific papers (total in 3 papers)

Research Papers

Metaharmonic functions: mean flux theorem, its converse and related properties

N. Kuznetsov

Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr., 61 199178, St. Petersburg, Russia
Full-text PDF (251 kB) Citations (3)
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Abstract: The mean flux theorems are proved for solutions of the Helmholtz equation and its modified version. Also, their converses are considered along with some other properties which generalise those that guarantee harmonicity.
Keywords: metaharmonic function, mean value theorem, mean flux theorem, converse theorems.
Received: 06.04.2020
English version:
St. Petersburg Mathematical Journal, 2022, Volume 33, Issue 2, Pages 243–254
DOI: https://doi.org/10.1090/spmj/1699
Document Type: Article
Language: English
Citation: N. Kuznetsov, “Metaharmonic functions: mean flux theorem, its converse and related properties”, Algebra i Analiz, 33:2 (2021), 82–97; St. Petersburg Math. J., 33:2 (2022), 243–254
Citation in format AMSBIB
\Bibitem{Kuz21}
\by N.~Kuznetsov
\paper Metaharmonic functions: mean flux theorem, its converse and related properties
\jour Algebra i Analiz
\yr 2021
\vol 33
\issue 2
\pages 82--97
\mathnet{http://mi.mathnet.ru/aa1749}
\transl
\jour St. Petersburg Math. J.
\yr 2022
\vol 33
\issue 2
\pages 243--254
\crossref{https://doi.org/10.1090/spmj/1699}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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