Separation of variables in an asymmetric cyclidic coordinate system

DOI10.1063/1.4812321zbMath1286.35081arXiv1301.3559OpenAlexW3106269971MaRDI QIDQ5402325

Howard S. Cohl, Hans W. Volkmer

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3559

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Expansion for a fundamental solution of Laplace's equation in flat-ring cyclide coordinates, Expansions for a fundamental solution of Laplace's equation on ℝ³ in 5-cyclidic harmonics, 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

• Multiparameter eigenvalue problems and expansion theorems
• Symmetry and separation of variables for the Helmholtz and Laplace equations
• R-Separable Coordinates for Three-Dimensional Complex Riemannian Spaces
• A Method of Generating Integral Relations by the Simultaneous Separability of Generalized Schrödinger Equations
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