Integration Rules.Gauss Laguerre 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#
A Gauss-Laguerre quadrature rule of order n.
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.6
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
SimpleIntegrationRuleA 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 $[0,+\infty)$