Geodesic
A method of summation of divergent series to any accuracy
Matematičeskie zametki, Tome 68 (2000) no. 1, pp. 24-35 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{MZM_2000_68_1_a2,
     author = {V. V. Belokurov and Yu. P. Solov'ev and E. T. Shavgulidze},
     title = {A~method of summation of divergent series to any accuracy},
     journal = {Matemati\v{c}eskie zametki},
     pages = {24--35},
     year = {2000},
     volume = {68},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2000_68_1_a2/}
}
TY  - JOUR
AU  - V. V. Belokurov
AU  - Yu. P. Solov'ev
AU  - E. T. Shavgulidze
TI  - A method of summation of divergent series to any accuracy
JO  - Matematičeskie zametki
PY  - 2000
SP  - 24
EP  - 35
VL  - 68
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MZM_2000_68_1_a2/
LA  - ru
ID  - MZM_2000_68_1_a2
ER  - 
%0 Journal Article
%A V. V. Belokurov
%A Yu. P. Solov'ev
%A E. T. Shavgulidze
%T A method of summation of divergent series to any accuracy
%J Matematičeskie zametki
%D 2000
%P 24-35
%V 68
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_2000_68_1_a2/
%G ru
%F MZM_2000_68_1_a2
V. V. Belokurov; Yu. P. Solov'ev; E. T. Shavgulidze. A method of summation of divergent series to any accuracy. Matematičeskie zametki, Tome 68 (2000) no. 1, pp. 24-35. http://geodesic.mathdoc.fr/item/MZM_2000_68_1_a2/

[1] Khardi G., Raskhodyaschiesya ryady, IL, M., 1951

[2] Dingle R. B., Asymptotic Expansions, Acad. Press, London–New York, 1973 | Zbl

[3] Belokurov V. V., Shavgulidze E. T., Solovyov Yu. P., “New perturbation theory for quantum field theory: convergent series instead of asymptotic expansions”, Mod. Phys. Lett. A, 10:39 (1995), 3033–3041 | DOI | MR

[4] Belokurov V. V., Solovev Yu. P., Shavgulidze E. T., “Vychislenie funktsionalnykh integralov s pomoschyu skhodyaschikhsya ryadov”, Fundament. i prikl. matem., 3:3 (1997), 693–713 | MR | Zbl

[5] Belokurov V. V., Solovev Yu. P., Shavgulidze E. T., “Teoriya vozmuschenii so skhodyaschimisya ryadami dlya funktsionalnykh integralov po feinmanovskoi mere”, UMN, 52:2 (1997), 153–154 | MR

[6] Belokurov V. V., Kamchatny V. V., Shavgulidze E. T., Solovyov Yu. P., “Perturbation theory with convergent series for arbitrary values of coupling constant”, Mod. Phys. Lett. A, 12:10 (1997), 661–672 | DOI

[7] Edvards R., Funktsionalnyi analiz, Mir, M., 1969

[8] Krein M. G., Nudelman A. A., Problema momentov Markova i ekstremalnye zadachi, Nauka, M., 1973