  In the present paper, we analyze the consequences of scaling hypotheses on
dynamic functions, as two times correlations $C(t,t')$. We show, under general
conditions, that $C(t,t')$ must obey the following scaling behavior $C(t,t') =
\phi_1(t)^{f(\beta)}{\cal{S}}(\beta)$, where the scaling variable is
$\beta=\beta(\phi_1(t')/\phi_1(t))$ and $\phi_1(t')$, $\phi_1(t)$ two
undetermined functions. The presence of a non constant exponent $f(\beta)$
signals the appearance of multiscaling properties in the dynamics.
