# A program to compute exact hydrogenic radial integrals, oscillator strengths, and Einstein coefficients, for principal quantum numbers up to n ≈ 1000

## Description

Abstract An exact expression for the dipole radial integral of hydrogen has been given by Gordon [Ann. Phys. 2 (1929) 1031]. It contains two hypergeometric functions F ( a , b ; c ; x ) , which are difficult to calculate directly, when the (negative) integers a, b are large, as in the case of high Rydberg states of hydrogenic ions. We have derived a simple method [D. Hoang-Binh, Astron. Astrophys. 238 (1990) 449], using a recurrence relation to calculate exactly F, starting from two initial values, wh... Title of program: ba5 Catalogue Id: ADUU_v1_0 Nature of problem Exact calculation of atomic data. Versions of this program held in the CPC repository in Mendeley Data ADUU_v1_0; ba5; 10.1016/j.cpc.2004.11.005 ADUU_v2_0; ba5.2; 10.1016/j.cpc.2009.06.003 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)