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The first method, introduced by Harizanov et.al, based on the best uniform rational approximation (BURA) $r_\\alpha(t)$ of $t^{1-\\alpha}$ for $0 \\le t \\le 1$, is used to get the rational approximation of $t^{-\\alpha}$ in the form $t^{-1}r_\\alpha(t)$. 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