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Wronskian

  • To: mathgroup at smc.vnet.net
  • Subject: [mg121602] Wronskian
  • From: "Dr. C. S. Jog" <jogc at mecheng.iisc.ernet.in>
  • Date: Thu, 22 Sep 2011 07:23:57 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

In Mathematica 8, with the command

In[1]:= Wronskian[{LegendreP[n,xi],LegendreQ[n,xi]},xi]


we get


Out[1]= -(((1 + n) (LegendreP[1 + n, xi] LegendreQ[n, xi] - 
 
                                                             2
>          LegendreP[n, xi] LegendreQ[1 + n, xi])) / (-1 + xi ))

FullSimplify does not simplify the above expression to 1/(1-xi^2).

The result given by Mathematica is correct, but not as compact as
1/(1-xi^2).

Regards

Jog


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