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@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}, publisher = {mathdoc}, volume = {68}, number = {1}, year = {2000}, 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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2000_68_1_a2/ LA - ru ID - MZM_2000_68_1_a2 ER -
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