Special.JacobiPSeries Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.2

Overload List

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

JacobiPSeries(Vector<Double>, Double, Double, Double)

Evaluates a series of Jacobi polynomials.
C# 
public static double JacobiPSeries(
	Vector<double> coefficients,
	double alpha,
	double beta,
	double x
)

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
alpha  Double
The first parameter of the Jacobi polynomial.
beta  Double
The second parameter of the Jacobi polynomial.
x  Double
The value for which to evaluate the series.

Return Value

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

Exceptions

ArgumentNullException

coefficients is null.

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

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

Parameters

coefficients  Vector<Double>
A vector containing the coefficients.
alpha  Double
The first parameter of the Jacobi polynomial.
beta  Double
The second parameter of the Jacobi polynomial.
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

Double
The sum of the Jacobi 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