Special.LegendrePSeries Method

Definition

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

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

Evaluates a series of Legendre polynomials.

public static double LegendrePSeries(
	Vector<double> coefficients,
	double x
)

Visual Basic

Public Shared Function LegendrePSeries ( 
	coefficients As Vector(Of Double),
	x As Double
) As Double

C++/CLI

public:
static double LegendrePSeries(
	Vector<double>^ coefficients, 
	double x
)

static member LegendrePSeries : 
        coefficients : Vector<float> * 
        x : float -> float

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

coefficients is null.

Evaluates a series of Legendre polynomials up to the specified degree.

public static double LegendrePSeries(
	Vector<double> coefficients,
	double x,
	int maxDegree
)

Visual Basic

Public Shared Function LegendrePSeries ( 
	coefficients As Vector(Of Double),
	x As Double,
	maxDegree As Integer
) As Double

C++/CLI

public:
static double LegendrePSeries(
	Vector<double>^ coefficients, 
	double x, 
	int maxDegree
)

static member LegendrePSeries : 
        coefficients : Vector<float> * 
        x : float * 
        maxDegree : int -> float

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 Legendre polynomial to include in the series.

Double
The sum of the Legendre polynomials up to degree maxDegree evaluated at x and multiplied by the corresponding element of coefficients.

If maxDegree is less than zero, then zero is returned.

coefficients is null.