OrthogonalPolynomials.ChebyshevT Method
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OrthogonalPolynomialsChebyshevT Method

Computes the value of a Cebyshev polynomial.

Namespace:  Meta.Numerics.Functions
Assembly:  Meta.Numerics (in Meta.Numerics.dll) Version: 4.0.5.0 (4.0.5.0)
Syntax
public static double ChebyshevT(
	int n,
	double x
)

Parameters

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.

Return Value

Type: Double
The value of Tn(x).
Exceptions
ExceptionCondition
ArgumentOutOfRangeExceptionn 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.

See Also