OrthogonalPolynomialsLegendreP(Int32, Double) Method

public static double LegendreP(
	int ell,
	double x
)

Public Shared Function LegendreP ( 
	ell As Integer,
	x As Double
) As Double

public:
static double LegendreP(
	int ell, 
	double x
)

static member LegendreP : 
        ell : int * 
        x : float -> float 

Parameters

ell  Int32

The order, which must be non-negative.

x  Double

The argument, which must lie on the closed interval between -1 and +1.

Return Value

Legendre polynomials are orthogonal on the interval [-1,1].

The values returned by this are fully accurate (14-16 decimal digits) over the full range of arguments for orders up to one million.

Reference

Other Resources