This article is cited in 2 papers

On an Analogue of the Cauchy–Hadamard Formula for Harmonic Function in a Ball

Ol'ga V. Khodos

Institute of Mathematics, Siberian Federal University, Krasnoyarsk

Abstract: It is obtained the analogue of the Cauchy–Hadamard formula for harmonic functions permitting to calculate the convergence radius of a series by homogeneous harmonic polynomials.

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

UDC: 517.55

Received: 18.09.2009
Received in revised form: 25.10.2009
Accepted: 10.11.2009