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

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.

UDC: 517.55

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