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Matematicheskie Zametki, 1997, Volume 61, Issue 2, Pages 278–296
DOI: https://doi.org/10.4213/mzm1501 (Mi mzm1501) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Saddle-point method and resurgent analysis

B. Yu. Sternina, V. E. Shatalovb

a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (2563 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1501
Abstract: The topological part of the theory of the parameter-dependent Laplace integral is known to consist of two stages. At the first stage, the integration contour is reduced to a sum of paths of steepest descent for some value of the parameter. At the second stage, this decomposition (and hence the asymptotic expansion of the integral) is continued to all other parameter values. In the present paper, the second stage is studied with the help of resurgent analysis techniques.
Received: 25.12.1996
English version:
Mathematical Notes, 1997, Volume 61, Issue 2, Pages 227–241
DOI: https://doi.org/10.1007/BF02355733
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: B. Yu. Sternin, V. E. Shatalov, “Saddle-point method and resurgent analysis”, Mat. Zametki, 61:2 (1997), 278–296; Math. Notes, 61:2 (1997), 227–241
Citation in format AMSBIB
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\jour Math. Notes
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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