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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 58, Number 1, Pages 137–145 (Mi tmf4437)  
This article is cited in 5 scientific papers (total in 5 papers)

Sommerfeld–Watson summation of perturbation series

Yu. A. Kubyshin
Full-text PDF (862 kB) Citations (5)
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Abstract: Conditions are formulated under which a perturbation theory series can be summed by the Sommerfeld–Watson method. A procedure of approximate recovery of the sum of a series is developed. Results are given for some physical problems.
Received: 03.01.1983
English version:
Theoretical and Mathematical Physics, 1984, Volume 58, Issue 1, Pages 91–97
DOI: https://doi.org/10.1007/BF01031039
Bibliographic databases:
Language: Russian
Citation: Yu. A. Kubyshin, “Sommerfeld–Watson summation of perturbation series”, TMF, 58:1 (1984), 137–145; Theoret. and Math. Phys., 58:1 (1984), 91–97
Citation in format AMSBIB
\Bibitem{Kub84}
\by Yu.~A.~Kubyshin
\paper Sommerfeld--Watson summation of perturbation series
\jour TMF
\yr 1984
\vol 58
\issue 1
\pages 137--145
\mathnet{http://mi.mathnet.ru/tmf4437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=740219}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 58
\issue 1
\pages 91--97
\crossref{https://doi.org/10.1007/BF01031039}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984TA24500011}
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  • https://www.mathnet.ru/eng/tmf4437
  • https://www.mathnet.ru/eng/tmf/v58/i1/p137
    • This publication is cited in the following 5 articles:
    1. M. V. Komarova, M. Yu. Nalimov, “Convergent perturbation theory and the strong coupling limit in quantum electrodynamics”, Theoret. and Math. Phys., 216:3 (2023), 1360–1372  mathnet  crossref  crossref  mathscinet  adsnasa
    2. I.M. Suslov, “Strong coupling asymptotics of the β-function in theory and QED”, Applied Numerical Mathematics, 60:12 (2010), 1418  crossref
    3. D. I. Kazakov, V. S. Popov, “Asymptotic behavior of the Gell-Mann-Low function in quantum field theory”, JETP Letters, 77:9 (2003), 453–457  mathnet  crossref
    4. Kazakov, DI, “On the summation of divergent perturbation series in quantum mechanics and field theory”, Journal of Experimental and Theoretical Physics, 95:4 (2002), 581  crossref  isi
    5. Kunio Yoshino, Algebraic Analysis, 1988, 943  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :190
    References:87
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