On the reducibility of the ellipsoidal system

DOI10.1002/mma.8051zbMath1527.33016OpenAlexW4205558497MaRDI QIDQ6141499

Panayiotis Vafeas, George Dassios, George Fragoyiannis

Publication date: 19 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8051

zbMATH Keywords

Lamé functionsellipsoidal harmonicsellipsoidal geometryJacobian system

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spherical harmonics (33C55) Elliptic functions and integrals (33E05) Lamé, Mathieu, and spheroidal wave functions (33E10) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

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• The mathematical development of the classical ellipsoids
• External ellipsoidal harmonics for the Dunkl-Laplacian
• The Atkinson-Wilcox theorem in ellipsoidal geometry
• Invariant vector harmonics. The ellipsoidal case
• Surface area and other measures of ellipsoids
• Recurrence Formulae for Lamé Polynomials
• On Lamé Polynomials
• Relations between Spherical and Ellipsoidal Harmonics and Some Applications
• On Two Useful Identities in the Theory of Ellipsoidal Harmonics
• Corrections to Ëlementary Approximations to the Area of N-Dimensional Ellipsoids"
• Dynamic Eshelby tensor and potentials for ellipsoidal inclusions
• The Ultimate Image Singularities for External Ellipsoidal Harmonics

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