Special.ChebyshevUSeries Method

Definition

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

Overload List

ChebyshevUSeries(Vector<Double>, Double) Evaluates a series of Chebyshev polynomials of the second kind.
ChebyshevUSeries(Vector<Double>, Double, Int32) Evaluates a series of Chebyshev polynomials of the second kind up to the specified degree.

ChebyshevUSeries(Vector<Double>, Double)

Evaluates a series of Chebyshev polynomials of the second kind.
C# 
public static double ChebyshevUSeries(
	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 Chebyshev polynomials of the second kind at x multiplied by the corresponding element of coefficients.

Exceptions

ArgumentNullException

coefficients is null.

ChebyshevUSeries(Vector<Double>, Double, Int32)

Evaluates a series of Chebyshev polynomials of the second kind up to the specified degree.
C# 
public static double ChebyshevUSeries(
	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 Chebyshev polynomials of the second kind 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