V. N. Dubinin, “Pólya–Schur inequality and the Green energy of a discrete charge”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 492,Pages <nobr>24

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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

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.

UDC: 517.54

Received: 31.03.2020
Revised: 31.03.2020
Accepted: 09.04.2020

DOI: 10.31857/S2686954320030066