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Summation of double series using the Euler-Maclaurin sum formula

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Abstract

A certain variation of the Euler-Maclaurin sum formula is used to deduce a corresponding formula, suitable for the summation of finite or infinite double series.

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References

  1. E. Lindelöf,Le Calcul des Résidus et ses Applications à la Theorie des Fonctions, Gauthier-Villars, Paris, 1905.

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Authors and Affiliations

  1. Department of Numerical Analysis and Computer Science, Royal Institute of Technology, S-100 44, Stockholm, Sweden

    Hans Riesel

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  1. Hans Riesel
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Riesel, H. Summation of double series using the Euler-Maclaurin sum formula. Bit Numer Math 36, 860–862 (1996). https://doi.org/10.1007/BF01733797

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  • DOI: https://doi.org/10.1007/BF01733797

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