About: Padé table

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In complex analysis, a Padé table is an array, possibly of infinite extent, of the rational Padé approximants Rm, n to a given complex formal power series. Certain sequences of approximants lying within a Padé table can often be shown to correspond with successive convergents of a continued fraction representation of a holomorphic or meromorphic function.

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  • In complex analysis, a Padé table is an array, possibly of infinite extent, of the rational Padé approximants Rm, n to a given complex formal power series. Certain sequences of approximants lying within a Padé table can often be shown to correspond with successive convergents of a continued fraction representation of a holomorphic or meromorphic function. (en)
  • У своїй дисертації 1892 французький математик Анрі Паде вивчав апроксимації раціональними функціями типу і розташував їх у таблиці. Паде приділив велику увагу експоненціальнійній функції. (uk)
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  • In complex analysis, a Padé table is an array, possibly of infinite extent, of the rational Padé approximants Rm, n to a given complex formal power series. Certain sequences of approximants lying within a Padé table can often be shown to correspond with successive convergents of a continued fraction representation of a holomorphic or meromorphic function. (en)
  • У своїй дисертації 1892 французький математик Анрі Паде вивчав апроксимації раціональними функціями типу і розташував їх у таблиці. Паде приділив велику увагу експоненціальнійній функції. (uk)
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  • Padé table (en)
  • Таблиця Паде (uk)
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