Peanut harmonic expansion for a fundamental solution of Laplace's equation in flat-ring coordinates

DOI10.1007/s10476-022-0175-1zbMath1524.35024arXiv2202.08923WikidataQ114227586 ScholiaQ114227586MaRDI QIDQ6391451

Howard S. Cohl, Lijuan Bi, Hans Volkmer

Publication date: 17 February 2022

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Other special orthogonal polynomials and functions (33C47) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55) Elliptic integrals as hypergeometric functions (33C75)

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