IntegrationRules.GaussLaguerre Method

Constructs a new Gauss-Laguerre quadrature rule.

Definition

Namespace: Numerics.NET.Calculus
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
C#
public static SimpleIntegrationRule GaussLaguerre(
	int n,
	double alpha = 0
)

Parameters

n  Int32
The number of points in the quadrature rule.
alpha  Double  (Optional)
Optional. The exponent of the monomial in the weight function. The default is zero.

Return Value

SimpleIntegrationRule
A Gauss-Laguerre quadrature rule of order n.

Remarks

Gauss-Laguerre rules are a form of Gaussian quadrature based on (generalized) Laguerre polynomials. The rule incorporates the weight function

w(x) = x^\alpha e^{-x}

and is valid over the interval $[0,+\infty)$

See Also