Padé approximant [m/n]: rational P_m/Q_n matching Taylor to order m+n

Layer 0 — Mathematicsin the approximation-theory subtree

Padé 1892 rational approximants [m/n]_f(x) = P_m(x)/Q_n(x) are the unique rational function of numerator degree ≤ m and denominator degree ≤ n whose Taylor expansion matches that of f through order x^{m+n}. Construction: given f(x) = Σ…

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