Special.GegenbauerCSeries Method

Definition

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

Overload List

GegenbauerCSeries(Vector<Double>, Double, Double) Evaluates a series of Gegenbauer polynomials.
GegenbauerCSeries(Vector<Double>, Double, Double, Int32) Evaluates a series of Gegenbauer polynomials up to the specified degree.

GegenbauerCSeries(Vector<Double>, Double, Double)

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

Parameters

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

Return Value

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

Exceptions

ArgumentNullException

coefficients is null.

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

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

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
lambda  Double
The parameter of the Gegenbauer 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 Gegenbauer 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