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Ein numerisches Verfahren zur analytischen Fortsetzung

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Summary

For the problem of continuing a given Taylor series beyond the circle of convergence a classical summation method is proposed; numerical properties are studied. A known theorem about the “region of continuation” yields results about the speed of convergence of the transformed series. For special problems there are described in some sense optimal methods. Recursion formulas for the computation of the summation matrix are given.

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Authors and Affiliations

  1. Fakultät für Mathematik und Informatik, Universität Mannheim (WH), Schloß-Friedrichspark, D-6800, Mannheim 1, Bundesrepublik Deutschland

    Wilhelm Niethammer

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  1. Wilhelm Niethammer
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Niethammer, W. Ein numerisches Verfahren zur analytischen Fortsetzung. Numer. Math. 21, 81–92 (1973). https://doi.org/10.1007/BF01436189

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  • DOI: https://doi.org/10.1007/BF01436189

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