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A connection between borel and padé summation techniques

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Lettere al Nuovo Cimento (1971-1985)

Summary

The recently proposed combination of the Borel summability method with the first confluent form of the ε-algorithm of Wynn for summing the Born series of scattering integral equations, is shown to be equivalent, in a limiting case, to the construction of the sequence of [n, n - 1] Padé approximants to the same series.

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References

  1. L. Lovitch andM. F. Marziani:Borel Summability of Divergent Born Series, to be published.

  2. P. Wynn:Arch. Math.,11, 223 (1960).

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  3. P. Wish:Arch. Math.,11, 237 (1960).

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  4. P. Wynn:Arch. Rat. Mech. Anal.,28, 83 (1968).

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  5. M. Abramowitz andI. A. Stegun (Editors):Handbook of Mathematical Functions (Washington. D.C., 1964).

  6. G. A. Baker:Essentials of Padé Approximants (New York, N.Y., 1975).

  7. A. C. Aitken:Determinants and Matrices (Edinburgh, 1951).

  8. P. Wynn:Proc. Glasgow Math. Assoc.,5, 160 (1962).

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Marziani, M.F. A connection between borel and padé summation techniques. Lett. Nuovo Cimento 37, 124–128 (1983). https://doi.org/10.1007/BF02747261

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  • DOI: https://doi.org/10.1007/BF02747261

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