Asymptotic structure of perturbative series for tau lepton decay observables: m(s)(2) corrections

In a previous paper [1] we performed an analysis of the asymptotic structur e of the perturbation theory series for semileptonic tau lepton decay in th e massless limit. We extend our analysis to the Cabibbo suppressed Delta S = 1 decay modes of the tau lepton, In particular we address the problem of m(s)(2) corrections to the theoretical formulas. The properties of the asym ptotic behavior of the finite order perturbation theory series for the coef ficient functions of the m(s)(2) corrections are studied.