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On a new demonstration of Maclaurin's or Euler's summation formula. - MaRDI portal

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On a new demonstration of Maclaurin's or Euler's summation formula. (Q1461721)

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scientific article; zbMATH DE number 2601119
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English
On a new demonstration of Maclaurin's or Euler's summation formula.
scientific article; zbMATH DE number 2601119

    Statements

    On a new demonstration of Maclaurin's or Euler's summation formula. (English)
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    1922
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    Verf. wendet auf die Integrale auf der rechten Seite von \[ \int_0^z f(u)\,du =\sum_{x=0}^z \int_0^1 f(x+u)\,du\quad (z\text{ ganz}) \] mehrmalige partielle Integration an und erhält so die Eulersche Summenformel
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