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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 153–167 (Mi znsl5719)  
Transfinite diameter with respect to Neumann function

E. G. Prilepkinaab

a Far Eastern Federal University, Vladivostok, Russia
b Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia
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Abstract: We study the transfinite diameter with respect to Neumann function. The representations of this size are given in terms of the condenser capacity and Dirichlet integral of some function. As corollaries we derive the estimates of transfinite diameter with respect to Neumann function of the unit disk exterior. The description of the similar Fekete points is given.
Key words and phrases: transfinite diameter, Fekete points, Robin capacity, condencer capacity.
Received: 04.09.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 605–613
DOI: https://doi.org/10.1007/s10958-014-1949-1
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Prilepkina, “Transfinite diameter with respect to Neumann function”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 153–167; J. Math. Sci. (N. Y.), 200:5 (2014), 605–613
Citation in format AMSBIB
\Bibitem{Pri13}
\by E.~G.~Prilepkina
\paper Transfinite diameter with respect to Neumann function
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 153--167
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5719}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 605--613
\crossref{https://doi.org/10.1007/s10958-014-1949-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904193388}
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