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PolynomialsLegendreP(Int32, Double, Double, Double, Double) Method

Computes the value of the Legendre polynomial of degree n and its first and second derivatives at a given point.

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
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public static void LegendreP(
	int n,
	double x,
	out double y,
	out double dy,
	out double d2y
)

Parameters

n  Int32
Degree of the polynomial (>= 0).
x  Double
Point at which the computation is performed (-1 <= x <= 1).
y  Double
Output: value of the polynomial at x.
dy  Double
Output: value of the first derivative at x.
d2y  Double
Output: value of the second derivative at x.
Remarks
C#
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Note:
  This C++ implementation is based on the Fortran function
     VALEPO
  from
      "Fortran routines for spectral methods"
  by  Daniele Funaro
      Department of Mathematics
      University of Pavia
      Via Abbiategrasso 209, 27100 Pavia, Italy
      e-mails: fun18@ipvian.ian.pv.cnr.it
               funaro@dragon.ian.pv.cnr.it
See Also