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.
翻译：计算严格稳定的法律的概率密度和分布函数的问题被考虑为 $x\ to0$。这些值向电源序列的扩展是为了解决这一问题而取得的。 事实证明,如果是 $\ pha < $1$,获得的序列是零用美元,如果是 $\ ltpha>1$,它们是聚合的,而如果是 $\ alpha=1$,这些序列在域 $%x% $1$中是集中的。 事实证明,如果是 $x\ $0$, 获得的扩展可以成功地用来计算严格稳定的法律的概率密度和分布函数。
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