Special.LaguerreLSeries Method

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

LaguerreLSeries(Vector<Double>, Double) Evaluates a series of Laguerre polynomials.
LaguerreLSeries(Vector<Double>, Double, Double) Evaluates a series of generalized Laguerre polynomials.
LaguerreLSeries(Vector<Double>, Double, Int32) Evaluates a series of Laguerre polynomials up to the specified degree.
LaguerreLSeries(Vector<Double>, Double, Double, Int32) Evaluates a series of generalized Laguerre polynomials up to the specified degree.

LaguerreLSeries(Vector<Double>, Double)

Evaluates a series of Laguerre polynomials.
C# 
public static double LaguerreLSeries(
	Vector<double> coefficients,
	double x
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
x  Double
The value for which to evaluate the series.

Return Value

Double
The sum of the Laguerre polynomials at x multiplied by the corresponding element of coefficients.

Exceptions

ArgumentNullException

coefficients is null.

LaguerreLSeries(Vector<Double>, Double, Double)

Evaluates a series of generalized Laguerre polynomials.
C# 
public static double LaguerreLSeries(
	Vector<double> coefficients,
	double lambda,
	double x
)

Parameters

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

Return Value

Double
The sum of the Laguerre polynomials at x multiplied by the corresponding element of coefficients.

Exceptions

ArgumentNullException

coefficients is null.

LaguerreLSeries(Vector<Double>, Double, Int32)

Evaluates a series of Laguerre polynomials up to the specified degree.
C# 
public static double LaguerreLSeries(
	Vector<double> coefficients,
	double x,
	int maxDegree
)

Parameters

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

Return Value

Double
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 zero is returned.

Exceptions

ArgumentNullException

coefficients is null.

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

Evaluates a series of generalized Laguerre polynomials up to the specified degree.
C# 
public static double LaguerreLSeries(
	Vector<double> coefficients,
	double lambda,
	double x,
	int maxDegree
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
lambda  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 Chebyshev polynomial to include in the series.

Return Value

Double
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 zero is returned.

Exceptions

ArgumentNullException

coefficients is null.

See Also