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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 5, Pages 1005–1025
DOI: https://doi.org/10.1070/IM1968v002n05ABEH000691 (Mi im2505) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On summation of the contributions from the Feynman diagrams. An existence theorem

D. Ya. Petrina
English version PDF (959 kB) Citations (10)
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DOI: https://doi.org/10.1070/IM1968v002n05ABEH000691
Abstract: A method is proposed for the summation of the series of contributions from Feynman diagrams. The proof is given of an existence theorem for the solution of an equation which arises in the summation of series of contributions.
Received: 04.07.1967
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1968, Volume 32, Issue 5, Pages 1052–1074
Bibliographic databases:
UDC: 517.9
MSC: 81T18, 34B27, 34A12, 47B25, 40A05, 45A05
Language: English
Original paper language: Russian
Citation: D. Ya. Petrina, “On summation of the contributions from the Feynman diagrams. An existence theorem”, Izv. Akad. Nauk SSSR Ser. Mat., 32:5 (1968), 1052–1074; Math. USSR-Izv., 2:5 (1968), 1005–1025
Citation in format AMSBIB
\Bibitem{Pet68}
\by D.~Ya.~Petrina
\paper On summation of the contributions from the Feynman diagrams. An
existence theorem
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1968
\vol 32
\issue 5
\pages 1052--1074
\mathnet{http://mi.mathnet.ru/im2505}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=266538}
\zmath{https://zbmath.org/?q=an:0175.53101|0186.58203}
\transl
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 5
\pages 1005--1025
\crossref{https://doi.org/10.1070/IM1968v002n05ABEH000691}
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  • https://doi.org/10.1070/IM1968v002n05ABEH000691
  • https://www.mathnet.ru/eng/im/v32/i5/p1052
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:384
    Russian version PDF:125
    English version PDF:25
    References:59
    First page:1
     
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