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