An Alternate Recursive Formula

    Another way to recursively define the Legendre polynomials is
    
        [Graphics:Images/LegendrePolyMod_gr_305.gif]

Exploration

Set up the recursive formulas for the Legendre polynomials and print them out.

[Graphics:../Images/LegendrePolyMod_gr_306.gif]

[Graphics:../Images/LegendrePolyMod_gr_307.gif]

[Graphics:../Images/LegendrePolyMod_gr_308.gif]

[Graphics:../Images/LegendrePolyMod_gr_309.gif]

 

 

 

[Graphics:../Images/LegendrePolyMod_gr_310.gif]

[Graphics:../Images/LegendrePolyMod_gr_311.gif]

[Graphics:../Images/LegendrePolyMod_gr_312.gif]

 

 

 

 

[Graphics:../Images/LegendrePolyMod_gr_313.gif]

[Graphics:../Images/LegendrePolyMod_gr_314.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005