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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 24–26
DOI: https://doi.org/10.31857/S2686954320030066 (Mi danma66) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Pólya–Schur inequality and the Green energy of a discrete charge

V. N. Dubinin

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320030066
Abstract: The classical Pólya–Schur inequality for the logarithmic energy of a point charge distributed on a circle is generalized to the Green energy with respect to the concentric circular ring.
Keywords: Pólya–Schur inequality, Green function, Green energy.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-01095-20-00
This work was performed within the state task no. 075-01095-20-00.
Received: 31.03.2020
Revised: 31.03.2020
Accepted: 09.04.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 192–194
DOI: https://doi.org/10.1134/S1064562420030060
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Pólya–Schur inequality and the Green energy of a discrete charge”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 24–26; Dokl. Math., 101:3 (2020), 192–194
Citation in format AMSBIB
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\transl
\jour Dokl. Math.
\yr 2020
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