Ol'ga V. Khodos, “The evaluation of convergence radius for series by harmonic polynomials in $\mathbb R^3$”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 407

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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 3, Pages 407–410 (Mi jsfu140)

The evaluation of convergence radius for series by harmonic polynomials in

$\mathbb R^3$

Ol'ga V. Khodos

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

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Abstract: It is obtained the explicit formula for convergence radius of series by homogeneous harmonic polynomials in

$\mathbb R^3$ .

Keywords: harmonic functions, homogeneous polynomials, Cauchy–Hadamard formula.

Received: 18.04.2010
Received in revised form: 25.05.2010
Accepted: 10.06.2010

Document Type: Article

UDC: 517.55

Language: Russian

Citation: Ol'ga V. Khodos, “The evaluation of convergence radius for series by harmonic polynomials in

$\mathbb R^3$ ”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 407–410

Citation in format AMSBIB

\Bibitem{Kho10}

\by Ol'ga~V.~Khodos

\paper The evaluation of convergence radius for series by harmonic polynomials in~$\mathbb R^3$

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2010

\vol 3

\issue 3

\pages 407--410

\mathnet{http://mi.mathnet.ru/jsfu140}

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https://www.mathnet.ru/eng/jsfu/v3/i3/p407

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Журнал Сибирского федерального университета. Серия "Математика и физика"

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