Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation

DOI10.7153/jca-02-09zbMath1412.35008arXiv1202.1811OpenAlexW2962943641MaRDI QIDQ3120691

Howard S. Cohl

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1811

zbMATH Keywords

fundamental solutionspolynomialsFourier seriespolyharmonic equationassociated Legendre functions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Classical hypergeometric functions, ({}_2F_1) (33C05) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (4)

On certain geometric properties of polyharmonic mappings ⋮ Solutions of Liouville equations with non-trivial profile in dimensions 2 and 4 ⋮ One parameter family of univalent polyharmonic mappings ⋮ Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation

Uses Software

• DLMF

Cites Work

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• Mesh deformation using the biharmonic operator
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