Laguerre

java.lang.Object

org.opensourcephysics.numerics.specialfunctions.Laguerre

public class Laguerre 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 n, double x)

Evaluates the n-th Laguerre polynomial at x.

static Polynomial

getPolynomial(int n)

Gets the n-th Laguerre polynomial.

static Polynomial

getPolynomial(int n, int k)

Gets the associated Laguerre 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 n)
  
  Gets the n-th Laguerre 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.
- getPolynomial
  
  public static Polynomial getPolynomial(int n, int k)
  
  Gets the associated Laguerre 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.
- evaluate
  
  public static double evaluate(int n, double x)
  
  Evaluates the n-th Laguerre polynomial at x.
  
  Returns:
  
  the value of the function