Analytic continuation by means of the methods of divergent series

Alexander Moroz

Czechoslovak Mathematical Journal (1990)

  • Volume: 40, Issue: 2, page 200-212
  • ISSN: 0011-4642

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Moroz, Alexander. "Analytic continuation by means of the methods of divergent series." Czechoslovak Mathematical Journal 40.2 (1990): 200-212. <http://eudml.org/doc/13844>.

@article{Moroz1990,
author = {Moroz, Alexander},
journal = {Czechoslovak Mathematical Journal},
keywords = {summability of power series; Lindelöf-summability},
language = {eng},
number = {2},
pages = {200-212},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Analytic continuation by means of the methods of divergent series},
url = {http://eudml.org/doc/13844},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Moroz, Alexander
TI - Analytic continuation by means of the methods of divergent series
JO - Czechoslovak Mathematical Journal
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 2
SP - 200
EP - 212
LA - eng
KW - summability of power series; Lindelöf-summability
UR - http://eudml.org/doc/13844
ER -

References

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  1. G. H. Hordy, Divergent series, Oxford Univ. Press, London 1949. (1949) MR0030620
  2. T. Kato, Perturbation theory for linear operators, Springer-Verlag, Berlin 1966. (1966) Zbl0148.12601MR0203473
  3. M. Reeken, 10.1063/1.1665217, J. Math. Phys., 11 (1970) 822-824. (1970) Zbl0208.38802MR0261393DOI10.1063/1.1665217
  4. A. S. Wightman, Should we believe in quantum field theory?, In the Whys of Subnuclear Physics. Ed. by A. Zichihi. Plenum Press, New York 1979. (1979) 
  5. C. M. Bender, al., 10.1103/PhysRevLett.58.2615, Phys.Rev. Lett., 58 (1987) 2615-2618. (1987) MR0893962DOI10.1103/PhysRevLett.58.2615
  6. G. ť Hofî, On the convergence of planar diagram expansions, Commun. Math. Phys., 86 (1982)449-464. (1982) MR0679194
  7. T. Copson, Asymptotic expansion, Cambridge Univ. Press, Cambridge 1965. (1965) Zbl0123.26001
  8. A. Erdélyi, Asymptotic expansions, Dover Publ., Inc., New York 1956. (1956) MR0078494
  9. M. V. Fedorjuk, Asymptotika: Integraly i rjady, Nauka, Moskva 1987. (1987) 
  10. E. Lindelöf, Une application de la théorie des résidus an prolongement analytique des séries de Taylor, Comptes Rendus, 135 (1902) 1315-1318. (1902) 
  11. M. Reed B. Simon, Methods of modern mathematical physics IV, Analysis of operators. Academic Press, New York 1978. (1978) Zbl0401.47001MR0493421
  12. G. A. Baker, Jr. P. Graves-Morris, Padé approximants, Adison Wesley Publ. Co., London 1981. (1981) Zbl0468.30032
  13. A. Moroz, Novel summability method generalizing the Borel method, Czech. J. Phys., B40 (in print); Summability method for a horn-shaped region. Commun. Math. Phys. (in print). Zbl0942.81548

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