New Solutions of RG Equations for α_s and y_{top}

We construct simple analytical solutions of the RG equations for the running couplings α_s and y_{top} in the asymptotic regime. These solutions have an explicit form, contain only logarithms and no special functions, and subsequently sum up the leading, subleading, etc logarithms in all orders of PT. While the effect of y_{top} on the running of α_s happens to be negligible, the role of α_s on the running of y_{top} is essential, the account of higher orders gives a noticeable contribution.