Solutions of RG equations for β(α) and α(Q) are found in
the class of meromorphic functions satisfying asymptotic conditions at large
Q (resp. small α), and analyticity properties in the Q2 plane. The
resulting αR​(Q) is finite in the Euclidean Q2 region and agrees well
at Q≥1 GeV with the MSˉαs​(Q).Comment: 11 pages, no figures, dedicated to the 70th birthday of Professor
Francesco Calogero, subm. to the Journal of Nonlinear Mathematical Physic