Special.LaguerreLSeriesWithDerivative Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.1.5

Overload List

LaguerreLSeriesWithDerivative(Vector<Double>, Double, Double) Evaluates a series of generalized Laguerre polynomials and its first derivative.
LaguerreLSeriesWithDerivative(Vector<Double>, Double, Double, Int32) Evaluates a series of generalized Laguerre polynomials up to the specified degree and its first derivative.

LaguerreLSeriesWithDerivative(Vector<Double>, Double, Double)

Evaluates a series of generalized Laguerre polynomials and its first derivative.
C# 
public static (double value, double derivative) LaguerreLSeriesWithDerivative(
	Vector<double> coefficients,
	double alpha,
	double x
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
alpha  Double
The parameter of the generalized Laguerre polynomials.
x  Double
The value for which to evaluate the series.

Return Value

ValueTuple<Double, Double>
A tuple containing the value and first derivative of the sum of the Laguerre polynomials at x multiplied by the corresponding element of coefficients.

Exceptions

ArgumentNullException

coefficients is null.

LaguerreLSeriesWithDerivative(Vector<Double>, Double, Double, Int32)

Evaluates a series of generalized Laguerre polynomials up to the specified degree and its first derivative.
C# 
public static (double value, double derivative) LaguerreLSeriesWithDerivative(
	Vector<double> coefficients,
	double alpha,
	double x,
	int maxDegree
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
alpha  Double
The parameter of the generalized Laguerre polynomials.
x  Double
The value for which to evaluate the series.
maxDegree  Int32
the degree of the highest order polynomial to include in the series.

Return Value

ValueTuple<Double, Double>
A tuple containing the value and first derivative of the sum of the Laguerre polynomials up to degree maxDegree evaluated at x and multiplied by the corresponding element of coefficients.

Remarks

If maxDegree is less than zero, then (0, 0) is returned.

Exceptions

ArgumentNullException

coefficients is null.

See Also