gsl_sf_hydrogenicR

  Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)

Normalized Hydrogenic bound states. Radial dipendence.

gsl_sf_hydrogenicR does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_sf_coulomb_wave_FGp_array

  Signature: (double x(); double [o]fc(n); double [o]fcp(n); double [o]gc(n); double [o]gcp(n); int [o]ovfw(); double [o]fe(n); double [o]ge(n); double lam_min; int kmax=>n; double eta)

 Coulomb wave functions F_{lam_F}(eta,x), G_{lam_G}(eta,x) and their derivatives; lam_G := lam_F - k_lam_G. if ovfw is signaled then F_L(eta,x)  =  fc[k_L] * exp(fe) and similar.

gsl_sf_coulomb_wave_FGp_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_sf_coulomb_wave_sphF_array

  Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)

 Coulomb wave function divided by the argument, F(xi, eta)/xi. This is the function which reduces to spherical Bessel functions in the limit eta->0.

gsl_sf_coulomb_wave_sphF_array does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.

gsl_sf_coulomb_CL_e

  Signature: (double L(); double eta();  double [o]y(); double [o]e())

Coulomb wave function normalization constant. [Abramowitz+Stegun 14.1.8, 14.1.9].

gsl_sf_coulomb_CL_e does not process bad values. It will set the bad-value flag of all output piddles if the flag is set for any of the input piddles.