f1: a code to compute Appell's F 1 hypergeometric function

Published: 01-02-2004| Version 1 | DOI: 10.17632/9tvmt9d8yj.1
F.D Colavecchia,
G Gasaneo


Abstract In this work we present the FORTRAN code to compute the hypergeometric function F_1 (α,β_1 ,β _2 ,γ,x,y) of Appell. The program can compute the F_1function for real values of the variables {x,y}, and complex values of the parameters {α,β_1 ,β_2 ,γ}. The code uses different strategies to calculate the function according to the ideas outlined in [F.D. Colavecchia et al., Comput. Phys. Comm. 138 (1) (2001) 29]. Title of program: f1 Catalogue Id: ADSJ_v1_0 Nature of problem Computing the Appell F 1 function is relevant in atomic collisons and elementary particle physics. It is usually the result of multidimensional integrals involving Coulomb continuum states. Versions of this program held in the CPC repository in Mendeley Data ADSJ_v1_0; f1; 10.1016/S0010-4655(03)00490-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)