Geodesic
Analytic continuation by means of the methods of divergent series
Czechoslovak Mathematical Journal, Tome 40 (1990) no. 2, pp. 200-212

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
DOI : 10.21136/CMJ.1990.102374
Classification : 30B40, 40C15, 47F05 
Moroz, Alexander. Analytic continuation by means of the methods of divergent series. Czechoslovak Mathematical Journal, Tome 40 (1990) no. 2, pp. 200-212. doi: 10.21136/CMJ.1990.102374
@article{10_21136_CMJ_1990_102374,
     author = {Moroz, Alexander},
     title = {Analytic continuation by means of the methods of divergent series},
     journal = {Czechoslovak Mathematical Journal},
     pages = {200--212},
     year = {1990},
     volume = {40},
     number = {2},
     doi = {10.21136/CMJ.1990.102374},
     mrnumber = {1046288},
     zbl = {0717.30002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102374/}
}
TY  - JOUR
AU  - Moroz, Alexander
TI  - Analytic continuation by means of the methods of divergent series
JO  - Czechoslovak Mathematical Journal
PY  - 1990
SP  - 200
EP  - 212
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102374/
DO  - 10.21136/CMJ.1990.102374
LA  - en
ID  - 10_21136_CMJ_1990_102374
ER  - 
%0 Journal Article
%A Moroz, Alexander
%T Analytic continuation by means of the methods of divergent series
%J Czechoslovak Mathematical Journal
%D 1990
%P 200-212
%V 40
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102374/
%R 10.21136/CMJ.1990.102374
%G en
%F 10_21136_CMJ_1990_102374

[1] G. H. Hordy: Divergent series. Oxford Univ. Press, London 1949. | MR

[2] T. Kato: Perturbation theory for linear operators. Springer-Verlag, Berlin 1966. | MR | Zbl

[3] M. Reeken: Summability methods in perturbation theory. J. Math. Phys., 11 (1970) 822-824. | DOI | MR | Zbl

[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.

[5] C. M. Bender, al.: Logarithmic approximations to polynomial lagrangeans. Phys.Rev. Lett., 58 (1987) 2615-2618. | DOI | MR

[6] G. ť Hofî: On the convergence of planar diagram expansions. Commun. Math. Phys., 86 (1982)449-464. | MR

[7] T. Copson: Asymptotic expansion. Cambridge Univ. Press, Cambridge 1965.

[8] A. Erdélyi: Asymptotic expansions. Dover Publ., Inc., New York 1956. | MR

[9] M. V. Fedorjuk: Asymptotika: Integraly i rjady. Nauka, Moskva 1987.

[10] E. Lindelöf: Une application de la théorie des résidus an prolongement analytique des séries de Taylor. Comptes Rendus, 135 (1902) 1315-1318.

[11] M. Reed B. Simon: Methods of modern mathematical physics IV. Analysis of operators. Academic Press, New York 1978. | MR

[12] G. A. Baker, Jr. P. Graves-Morris: Padé approximants. Adison Wesley Publ. Co., London 1981.

[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).

Cité par Sources :