f1: a code to compute Appellʹs F1 hypergeometric function Original Research Article

In this work we present the FORTRAN code to compute the hypergeometric function F1(α,β1,β2,γ,x,y) of Appell. The program can compute the F1 function for real values of the variables {x,y}, and complex values of the parameters {α,β1,β2,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].