Fundamental solution of Laplace's equation in hyperspherical geometry

DOI10.3842/SIGMA.2011.108zbMath1244.35002arXiv1108.3679MaRDI QIDQ431399

Howard S. Cohl

Publication date: 26 June 2012

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3679

zbMATH Keywords

fundamental solutionseparation of variablesLaplace's equationhyperspherical geometryFerrers functions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Classical hypergeometric functions, ({}_2F_1) (33C05) Potential theory on Riemannian manifolds and other spaces (31C12) Positive curvature complex manifolds (32Q10)

Related Items (6)

A hypergeometric integral with applications to the fundamental solution of Laplace's equation on hyperspheres ⋮ The Vlasov-Poisson system for stellar dynamics in spaces of constant curvature ⋮ Color confinement at the boundary of the conformally compactified \(\mathrm{AdS}_5\) ⋮ Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature ⋮ Point mass dynamics on spherical hypersurfaces ⋮ Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation

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