section l of routines in legndr.i

Home Manual Packages Global Index Keywords Quick Reference | # functions in legndr.i - l
legndr |
                 legndr(l,m, x)

         return the associated Legendre function Plm(x).  The X may
         be an array (-1<=x<=1), but L and M (0<=M<=L) must be scalar
         values.  For m=0, these are the Legendre polynomials Pl(x).
         Relation of Plm(x) to Pl(x):
           Plm(x) = (-1)^m (1-x^2)^(m/2) d^m/dx^m(Pl(x))
         Relation of Plm(x) to spherical harmonics Ylm:
           Ylm(theta,phi)= sqrt((2*l+1)(l-m)!/(4*pi*(l+m)!)) *
                               Plm(cos(theta)) * exp(1i*m*phi)

    interpreted function, defined at i/legndr.i   line 12
SEE ALSO: | ylm_coef