
Re: Legendre Polynomials normalised to Sin[theta]^m
Posted:
Jun 29, 2013 9:23 AM


Dear mecej4,
Thank you for your interest in this issue. I need to compute the function
P_l^m (x)/(1x^2)^(m/2)
for values of 1x that can be as small as 10^7 and in (roughly) the following ranges of l and m: 0 < l <100 10 < m < 10.
In the worst case I could write down the polynomials explicitly in the C code, but I would rather avoid doing that. In any case, this is the Mathematica code to generate the polynomials: With[{l = 5, m = 2}, LegendreP[l, m, x]/(1  x^2)^(m/2) ] // Simplify
Thanks, Guido
Il giorno sabato 29 giugno 2013 14:43:44 UTC+2, mecej4 ha scritto: > If you can be more specific, i.e., state what values of l and m are of > > interest to you, it may be possible to find a solution. > > > > Some of the problems that you mentioned in this thread are artifacts of > > the reparametrization in terms of x = cos \theta. The expressions for > > P_l^m (x)/(1x^2)^(m/2) are simple polynomials in x. > > > >  mecej4

