*(English)*Zbl 1007.81021

Summary: The code FGH is an up-dated version of a code COULFG [see the author, ibid. 25, 87 (1982)], used for the calculation of the Coulomb functions $f$ and $g$, analytic in the energy, for attractive potentials. The new code works for attractive and repulsive potentials and also gives the functions $h$ which have simple asymptotic forms. There is an option to use either the variables $(\epsilon ,r)$ customary in atomic physics, or (for positive energies) $(\eta ,\rho )$ customary in nuclear physics. When $(\eta ,\rho )$ are used, the code also gives the functions ${F}_{\ell}(\eta ,\rho )$ and ${G}_{\ell}(\eta ,\rho )$.

Use of series solutions can lead to loss of accuracy due to cancellation effects. FGH provides an indication of the number of significant figures lost due to cancellations.

##### MSC:

81Q05 | Closed and approximate solutions to quantum-mechanical equations |

81-08 | Computational methods (quantum theory) |