PAL:

Path: Math/Analysis

% Generates the Associated Legendre Functions of the first kind
 The first index is n and the second is m
 Input is limited to -1 ¾ x ¾ 1
                                   m
 The output matrix is P(n,m) ==   P   or P
                                   n      nm
 P(0,0)
 P(1,0) P(1,1)
 P(2,0) P(2,1) P(2,2)
 P(3,0) P(3,1) P(3,2) P(3,3)
 P(4,0) P(4,1) P(4,2) P(4,3) P(4,4)
                                    P(nMax,mMax)

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   Form:
   p = PAL ( nMax, mMax, x )
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   ------
   Inputs
   ------
   nMax               Max value of first index
   mMax               Max value of second index
   x                  Argument

   -------
   Outputs
   -------
   p                  Associated Legendre functions

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