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The problem of calculating the probability density and distribution function of a strictly stable law is considered at x→0. The expansions of these values into power series were obtained to solve this problem. It was shown that in the case α1, they were convergent; and in the case α=1 in the domain |x|<1, these series converged to an asymmetric Cauchy distribution. It has been shown that at x→0 the obtained expansions can be successfully used to calculate the probability density and distribution function of strictly stable laws.
V. V. Saenko (Tue,) studied this question.