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The neutralized sum formula of Euler

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References

  1. Neutrices, J. Soc. Indust. Appl. Math., 7, No. 3, September 1959, 253–279. Introduction to the Neutrix calculus, reports 128, 129 and 130 of the Mathematics Research Center at Madison; Journal d’Analyse Mathématique, 7, 1959–60, 281–399. Neutrix calculus I, Neutrices and distributions, Report 142 of the Mathematics Research Center at Madison ; Proceedings Royal Neth. Acad. of Sciences 63, series A, 1960, 115–123; Indagationes Mathematicae 22, 1960, 115–123. Neutrix calculus II, Special neutrix calculus, Report 143 of the Mathematics Research Center at Madison. This communication will appear in the Proceedings of the Royal Neth. Acad. of Sciences. Neutrix calculus III, General neutrix calculus, Report 144 of the Mathematics Research Center at Madison. Distributions with compatible neutrices, Report 166 of the Mathematics Research Center at Madison. Journal d’Analyse Mathématique, 8, 1960/61, 185–207. Introduction to the residue calculus, technical report Lockheed LMSD-703063, July 1960. This communication will appear in the Proceedings of the Royal Neth. Acad. of Sciences.

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Reference

  1. J. G. van der Corput, Asymptotic Developments I. Fundamental theorems of asymptotics, Journal d’Analyse Mathématique 4, 1954-56, p. 341–418; see page 367, Theorem 4.1.

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  1. University of California, Berkeley, California, USA

    J. G. van der Corput

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  1. J. G. van der Corput
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van der Corput, J.G. The neutralized sum formula of Euler. J. Anal. Math. 9, 205–345 (1961). https://doi.org/10.1007/BF02795345

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