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- Lamé_function abstract "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.Lamé's equation is where A and B are constants, and is the Weierstrass elliptic function. The most important case is when B is of the form n(n + 1) for an integer n, in which case the solutions extend to meromorphic functions defined in the whole complex plane. For other values of B the solutions have branch points.By changing the independent variable, Lamé's equation can also be rewritten in algebraic form aswhich after a change of variable becomes a special case of Heun's equation.".
- Lamé_function wikiPageID "17212216".
- Lamé_function wikiPageRevisionID "595778265".
- Lamé_function authorlink "Gabriel Lamé".
- Lamé_function first "Gabriel".
- Lamé_function first "H.".
- Lamé_function first "N. Kh.".
- Lamé_function id "29".
- Lamé_function id "L/l057400".
- Lamé_function id "L/l057410".
- Lamé_function last "Lamé".
- Lamé_function last "Rozov".
- Lamé_function last "Volkmer".
- Lamé_function title "Lamé equation".
- Lamé_function title "Lamé function".
- Lamé_function year "1837".
- Lamé_function subject Category:Special_functions.
- Lamé_function comment "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.".
- Lamé_function label "Functie van Lamé".
- Lamé_function label "Harmonique ellipsoïdale".
- Lamé_function label "Lamé function".
- Lamé_function label "ラメ函数".
- Lamé_function sameAs Lam%C3%A9_function.
- Lamé_function sameAs Harmonique_ellipsoïdale.
- Lamé_function sameAs ラメ函数.
- Lamé_function sameAs Functie_van_Lamé.
- Lamé_function sameAs Q3127537.
- Lamé_function sameAs Q3127537.
- Lamé_function wasDerivedFrom Lamé_function?oldid=595778265.