  The problem of calculating the probability density and distribution function
of a strictly stable law is considered at $x\to0$. The expansions of these
values into power series were obtained to solve this problem. It was shown that
in the case $\alpha<1$ the obtained series were asymptotic at $x\to0$, in the
case $\alpha>1$ they were convergent and in the case $\alpha=1$ in the domain
$|x|<1$ these series converged to an asymmetric Cauchy distribution. It has
been shown that at $x\to0$ the obtained expansions can be successfully used to
calculate the probability density and distribution function of strictly stable
laws.
