The contribution of vacuum polarization to the g factor of a bound electron
is considered for the,ground state of a hydrogen-like atom. A final expres
sion for the correction is obtained in terms of a generalized hypergeometri
c functions and represents a function of parameter Za and the ratio of the
mass of the orbital particle (electron or muon) to the mass of a particle i
n the vacuum loop. Different asymptotic forms of this expression are derive
d for both common and muon atoms. (C) 2001 MAIK "Nauka/Interperiodica".