  We study, to certain Banach spaces $X$, families of weighted composition
operators. Notably, we show that if this family form a strongly continuous
semigroup, then its infinitesimal generator ($\Gamma, D(\Gamma)$) is given by
$\Gamma f = gf+Gf^\prime$ with $D(\Gamma) = \{ f\in X \ | \ gf+Gf^\prime\in X
\}$ where $g, G$ are holomorphic functions. Moreover, our second maim result is
to study the reciprocal implication. That is if $(\Gamma , D(\Gamma))$, define
like above, generate a strongly continuous semigroup, then this one is a family
of weighted composition operators.
