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Matematicheskie Zametki, 1996, Volume 59, Issue 3, Pages 351–358
DOI: https://doi.org/10.4213/mzm1723 (Mi mzm1723) 		 
This article is cited in 13 scientific papers (total in 13 papers)

The final version of the mean value theorem for harmonic functions

V. V. Volchkov

Donetsk National University
Full-text PDF (187 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm1723
Abstract: We construct examples of nonharmonic functions satisfying the mean value equation for some set of spheres. These results permit us to obtain the two-circle theorem in its definitive form.
Received: 19.08.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 3, Pages 247–252
DOI: https://doi.org/10.1007/BF02308535
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. V. Volchkov, “The final version of the mean value theorem for harmonic functions”, Mat. Zametki, 59:3 (1996), 351–358; Math. Notes, 59:3 (1996), 247–252
Citation in format AMSBIB
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\pages 351--358
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 3
\pages 247--252
\crossref{https://doi.org/10.1007/BF02308535}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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