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Lamé function

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…

The Lamé equation, Asymptotic expansions & Floquet theory

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The Lamé equation

Asymptotic expansions

Floquet theory

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Lamé function

Nodes34
Edges33
Triples62
Avg. degree1.94
Density0.058824
Components1

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Lamé function

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related to References · 53
Lamé function → Arscott, Arthur, Available, Bateman Manuscript Project, Boisvert, Cambridge University Press, Charles, Clark, Daniel, EMS PressRozov, EMS PressVolkmer, Encyclopedia, Erdélyi, Francesco, Frank, Fritz, Gallica, Harald, Higher, III
related to Asymptotic expansions · 9
Lamé function → Asymptotic, Ince, Lambda, Lamé, Mathieu, Müller, Observe, The, With

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Important terminology

equation displaystyle lamé elliptic solutions lamé's functions function form kappa also lambda ellipsoidal terms called floquet case operatorname wave press

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SubjectPredicateObjectConfidenceSrc
Lamé functionrelated to Asymptotic expansionsAsymptotic0.60section
Lamé functionrelated to Asymptotic expansionsLamé0.60section
Lamé functionrelated to Asymptotic expansionsMüller0.60section
Lamé functionrelated to Asymptotic expansionsThe0.60section
Lamé functionrelated to Asymptotic expansionsLambda0.60section
Lamé functionrelated to Asymptotic expansionsInce0.60section
Lamé functionrelated to Asymptotic expansionsObserve0.60section
Lamé functionrelated to Asymptotic expansionsMathieu0.60section
Lamé functionrelated to Asymptotic expansionsWith0.60section
Lamé functionrelated to ReferencesArscott0.60section
Lamé functionrelated to ReferencesPeriodic Differential Equations0.60section
Lamé functionrelated to ReferencesOxford0.60section

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