Expansion for a fundamental solution of Laplace's equation in flat-ring cyclide coordinates

DOI10.3842/SIGMA.2022.041zbMath1497.35099arXiv2202.08918OpenAlexW4221148356MaRDI QIDQ2155665

Lijuan Bi, Howard S. Cohl, Hans W. Volkmer

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/2202.08918

zbMATH Keywords

Laplace equationexpansions of a fundamental solution

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Peanut harmonic expansion for a fundamental solution of Laplace's equation in flat-ring coordinates, Internal and external harmonics in bi-cyclide coordinates, Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation

Cites Work

• NIST digital library of mathematical functions
• Expansions for a fundamental solution of Laplace's equation on ℝ³ in 5-cyclidic harmonics
• Integral Representations for Products of Lamé Functions by Use of Fundamental Solutions
• Separation of variables in an asymmetric cyclidic coordinate system
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