On one representation of analytic functions by harmonic functions

DOI10.3103/S1055134408020041zbMath1249.31005OpenAlexW2017397595MaRDI QIDQ3115367

Valery V. Karachik

Publication date: 20 February 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134408020041

zbMATH Keywords

analytic functionpolyharmonic functionpolynomialAlmansi's formula

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

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On Solutions of The Wave Equation with a Minor Term ⋮ Unnamed Item ⋮ Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball ⋮ On the mean value property for polyharmonic functions in the ball ⋮ Solution of the Dirichlet problem with polynomial data for the polyharmonic equation in a ball ⋮ Construction of polynomial solutions to the Dirichlet problem by Almansi representation ⋮ Polynomial solutions of the Dirichlet problem for the biharmonic equation in the ball ⋮ Application of the Almansi formula for constructing polynomial solutions to the Dirichlet problem for a second-order equation ⋮ On the solution of the inhomogeneous polyharmonic equation and the inhomogeneous Helmholtz equation ⋮ The Green function of the Dirichlet problem for the biharmonic equation in a ball ⋮ DUNKL-POISSON EQUATION AND RELATED EQUATIONS IN SUPERSPACE

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