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Padé-type approximants of exp (−z) whose denominators are (1+z/n)n

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Summary

In this paper, we show that the sequences of Padé-type approximants (k−1/k) and (k/k) converge to exp (−z), uniformly and geometrically on every compact subset of the plane. A numerical study has been done, which discriminates these sequences from the point of view ofA-acceptability.

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Authors and Affiliations

  1. U.E.R. d'I.E.E.A.-Informatique, Universite des Sciences et Techniques de Lille 1, F-59655, Vileneuve d'Ascq Cedex, France

    Jeannette van Iseghem

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  1. Jeannette van Iseghem
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van Iseghem, J. Padé-type approximants of exp (−z) whose denominators are (1+z/n)n . Numer. Math. 43, 283–292 (1984). https://doi.org/10.1007/BF01390128

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  • DOI: https://doi.org/10.1007/BF01390128

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