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On the coefficients in the power series expansion of a rational function with an application on analytic continuation

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Arkiv för Matematik

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References

  1. Carlson, Über Potenzreihen mit ganzzahligen Koeffizienten, Math. Z., 9 (1921), p. 1–13.

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  2. Heine, Kugelfunktionen I, in the second edition p. 52–53. The lemma is stated there more generally, for algebraic functions.

  3. Borel, Sur une application d’un théorème de M. Hadamard. Bull. Sciences Math., (2), XVIII (1894), p. 22–25.

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  4. Pólya, Über Potenzreihen mit ganzzahligen Koeffizienten, Math. Ann., 4 (1919), p. 497–513. See also Carlson’s paper.

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Authors
  1. Christer Lech
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Lech, C. On the coefficients in the power series expansion of a rational function with an application on analytic continuation. Ark. Mat. 1, 341–346 (1951). https://doi.org/10.1007/BF02591370

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  • DOI: https://doi.org/10.1007/BF02591370

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