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LaguerrePoly

Orthogonal Polynomials: Chebyshev, Hermite, Laguerre

Syntax
LaguerrePoly(N: INT, X: RINGELEM): RINGELEM

Description
The function LaguerrePoly returns the N -th Laguerre polynomial multiplied by factorial(N) (so that the coefficients are integers).

This function also works if X is not an indeterminate: the result is then the evaluation of the polynomial at the given value.

Example
/**/  use R ::= QQ[x];
/**/  LaguerrePoly(3,x);
-x^3 +9*x^2 -18*x +6

See Also