OrthogonalPolynomialsChebyshevT Method

Computes the value of a Cebyshev polynomial.

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

public static double ChebyshevT(
	int n,
	double x
)

Public Shared Function ChebyshevT ( 
	n As Integer,
	x As Double
) As Double

public:
static double ChebyshevT(
	int n, 
	double x
)

static member ChebyshevT : 
        n : int * 
        x : float -> float

n: Type: SystemInt32
The order, which must be non-negative.
x: Type: SystemDouble
The argument, which must lie in the closed interval between -1 and +1.

Type: Double
The value of T_n(x).

Exceptions

Exception	Condition
ArgumentOutOfRangeException	n is negative, or x lies outside [-1,+1].

Remarks

Chebyshev polynomials are orthogonal on the interval [-1,1] with the weight (1-x²)^-1/2.

OrthogonalPolynomialsAddLanguageSpecificTextSet("LSTE50F977C_0?cpp=::|nu=.");ChebyshevT Method