| Title:
|
Analytic continuation by means of the methods of divergent series (English) |
| Author:
|
Moroz, Alexander |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
200-212 |
| . |
| Category:
|
math |
| . |
| MSC:
|
30B40 |
| MSC:
|
40C15 |
| MSC:
|
47F05 |
| idZBL:
|
Zbl 0717.30002 |
| idMR:
|
MR1046288 |
| DOI:
|
10.21136/CMJ.1990.102374 |
| . |
| Date available:
|
2008-06-09T15:32:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102374 |
| . |
| Reference:
|
[1] G. H. Hordy: Divergent series.Oxford Univ. Press, London 1949. MR 0030620 |
| Reference:
|
[2] T. Kato: Perturbation theory for linear operators.Springer-Verlag, Berlin 1966. Zbl 0148.12601, MR 0203473 |
| Reference:
|
[3] M. Reeken: Summability methods in perturbation theory.J. Math. Phys., 11 (1970) 822-824. Zbl 0208.38802, MR 0261393, 10.1063/1.1665217 |
| Reference:
|
[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. |
| Reference:
|
[5] C. M. Bender, al.: Logarithmic approximations to polynomial lagrangeans.Phys.Rev. Lett., 58 (1987) 2615-2618. MR 0893962, 10.1103/PhysRevLett.58.2615 |
| Reference:
|
[6] G. ť Hofî: On the convergence of planar diagram expansions.Commun. Math. Phys., 86 (1982)449-464. MR 0679194 |
| Reference:
|
[7] T. Copson: Asymptotic expansion.Cambridge Univ. Press, Cambridge 1965. |
| Reference:
|
[8] A. Erdélyi: Asymptotic expansions.Dover Publ., Inc., New York 1956. MR 0078494 |
| Reference:
|
[9] M. V. Fedorjuk: Asymptotika: Integraly i rjady.Nauka, Moskva 1987. |
| Reference:
|
[10] E. Lindelöf: Une application de la théorie des résidus an prolongement analytique des séries de Taylor.Comptes Rendus, 135 (1902) 1315-1318. |
| Reference:
|
[11] M. Reed B. Simon: Methods of modern mathematical physics IV.Analysis of operators. Academic Press, New York 1978. MR 0493421 |
| Reference:
|
[12] G. A. Baker, Jr. P. Graves-Morris: Padé approximants.Adison Wesley Publ. Co., London 1981. |
| Reference:
|
[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). |
| . |
