High Quality Content by WIKIPEDIA articles! In complex analysis, a Pade table is an array, possibly of infinite extent, of the rational Pade approximants. O a given complex formal power series. Certain sequences of approximants lying within a Pade table can often be shown to correspond with successive convergents of a continued fraction representation of a holomorphic or meromorphic function. Although earlier mathematicians had obtained sporadic results involving sequences of rational approximations to transcendental functions, Frobenius (in 1881) was apparently the first to organize the approximants in the form of a table.

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