  The Anderson-Holstein model is studied in the framework of the semiclassical
approximation. Analytic results for Kondo temperature renormalized by weak
electron-phonon interaction and for phonon Green function are obtained, and
they are interpreted from the viewpoint of dynamical mean field theory.
Especially the isotope effect of the effective electron mass is discussed in
the presence of strong electron correlation. The results are also compared with
those by numerical renormalization group and other related works, and they are
consistent with each other in their common domain of validity.
