Mathematica and Fortran programs for various analytic QCD couplings

We outline here the motivation for the existence of analytic QCD models, i.e., QCD frameworks in which the running coupling A(Q²) has no Landau singularities. The analytic (holomorphic) coupling A(Q²) is the analog of the underlying pQCD coupling a(Q²) = α_s(Q²)/π, and any such A(Q²) defines an analytic QCD model. We present the general construction procedure for the couplings A_v (Q²) which are analytic analogs of the powers a(Q²)^v. Three analytic QCD models are presented. Applications of our program (in Mathematica) for calculation of A_v (Q²) in such models are presented. Programs in both Mathematica and Fortran can be downloaded from the web page: gcvetic.usm.cl. (paper)