edu.jhu.bme.smile.commons.math.specialFunctions
Class Legendre

java.lang.Object
  edu.jhu.bme.smile.commons.math.specialFunctions.Legendre

public class Legendre
extends java.lang.Object

Author:

bennett

Constructor Summary

Legendre()

Method Summary

static double	val(int L, double x) * Legendre polynomials can be defined by the following recurrence relations: P0(X) = 1 P1(X) = X (k+1) Pk+1(X) = (2k+1) X Pk(X) - k Pk-1(X)
static double	val(int L, int M, double x) Associated Legendre Polynomials See: http://en.wikipedia.org/wiki/Legendre_function

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Legendre

public Legendre()

Method Detail

val

public static double val(int L,
                         double x)

* Legendre polynomials can be defined by the following recurrence relations: P0(X) = 1 P1(X) = X (k+1) Pk+1(X) = (2k+1) X Pk(X) - k Pk-1(X)

Parameters:

L - - degree

x - - location value

Returns:

P_L(x)

val

public static double val(int L,
                         int M,
                         double x)

Associated Legendre Polynomials See: http://en.wikipedia.org/wiki/Legendre_function

Parameters:

L - - degree

M - - order

x - - location value

Returns:

P^M_L(x)