Legendre

java.lang.Object

org.opensourcephysics.numerics.specialfunctions.Legendre

public class Legendre extends Object

Computes Laguerre polynomials and associated Laguerre polynomials.

Version:: 1.0
Author:: W. Christian

Method Summary

Modifier and Type

Method

Description

static double

evaluate(int el, double x)

Evaluates the el-th Legendre polynomial at x.

static Function

getAssociatedFunction(int el, int m)

Gets the associated Legendre function.

static Polynomial

getPolynomial(int el)

Gets the el-th Legendre polynomial.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details
- getPolynomial
  
  public static Polynomial getPolynomial(int el)
  
  Gets the el-th Legendre polynomial. If the polynomial has already been calculated it is returned from the list. Uses the recurrence relationship to construct new polynomials based on lower order polynomials.
- getAssociatedFunction
  
  public static Function getAssociatedFunction(int el, int m)
  
  Gets the associated Legendre function. If the function has already been calculated it is returned from the map. Uses the Legendre polynomial recurrence relationship to construct new functions based on derivatives of lower order polynomials.
- evaluate
  
  public static double evaluate(int el, double x)
  
  Evaluates the el-th Legendre polynomial at x.
  
  Returns:
  
  the value of the function