Loadable Function: z = gsl_sf_hydrogenicR (arg1, arg2, arg3, arg4)

Loadable Function: [z, err] = gsl_sf_hydrogenicR (…)

This routine computes the n-th normalized hydrogenic bound state radial wavefunction,

         Z^(3/2)     ----------------    -Z r/n          l    2l+1
R_n := 2 --------  \ / (n-l-1)!/(n+l)! . e       . (2Zr/n)  . L      (2Zr/n).
           n^2     v                                          n-l-1

where L^a_b(x) is the generalized Laguerre polynomial. The normalization is chosen such that the wavefunction \psi is given by \psi(n,l,r) = R_n Y_{lm}.

err contains an estimate of the absolute error in the value z.

This function is from the GNU Scientific Library, see http://www.gnu.org/software/gsl/ for documentation.

Package: gsl