OrthogonalPolynomialsLaguerreL(Int32, Double, Double) Method

Computes the value of an associated Laguerre polynomial.

Definition

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public static double LaguerreL(
	int n,
	double alpha,
	double x
)

Parameters

n  Int32
The order, which must be non-negative.
alpha  Double
The associated order, which must be greater than -1.
x  Double
The argument, which must be non-negative.

Return Value

Double
The value Lna(x).

Remarks

The associated Laguerre polynomials are orthogonal on the interval [0,+∞) with the weight xa e-x.

Exceptions

ArgumentOutOfRangeExceptionn of x is negative, or alpha is less than or equal to -1.

See Also