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Concept information

mathematical physics > special function > harmonic function > Lamé function
mathematical analysis > functional analysis > special function > harmonic function > Lamé function
mathematical analysis > functional analysis > transformation > harmonic analysis > Lamé function

Preferred term

Lamé function  

Definition

  • In mathematics, a Lamé function, or ellipsoidal harmonic function, is a solution of Lamé's equation, a second-order ordinary differential equation. It was introduced in the paper (Gabriel Lamé 1837). Lamé's equation appears in the method of separation of variables applied to the Laplace equation in elliptic coordinates. In some special cases solutions can be expressed in terms of polynomials called Lamé polynomials.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Lam%C3%A9_function)

Broader concept

Entry terms

  • ellipsoidal harmonic function

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-XCJD281P-M

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RDF/XML TURTLE JSON-LD Created 7/27/23, last modified 10/18/24