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Mathematics of the USSR-Sbornik, 1986, Volume 55, Issue 1, Pages 207–236
DOI: https://doi.org/10.1070/SM1986v055n01ABEH003000 (Mi sm1966) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic expansions of integrals in complex and real regions

V. P. Palamodov
English version PDF (1615 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1986v055n01ABEH003000
Abstract: Asymptotic expansions are studied for integrals of holomorphic forms over cycles in the Milnor fibration close to a critical level surface of a holomorphic function. Some regular features are found for the set of exponents in such expansions, and computational results are given. Asymptotic expansions are also considered for real integrals connected with analytic functions. A connection is established between expansions of integrals in a complex region and a real region.
Bibliography: 30 titles.
Received: 06.12.1983
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1985, Volume 127(169), Number 2(6), Pages 209–238
Bibliographic databases:
UDC: 517.373
MSC: Primary 30E15, 32C30, 41A60, 57R70; Secondary 32B10, 58A10
Language: English
Original paper language: Russian
Citation: V. P. Palamodov, “Asymptotic expansions of integrals in complex and real regions”, Mat. Sb. (N.S.), 127(169):2(6) (1985), 209–238; Math. USSR-Sb., 55:1 (1986), 207–236
Citation in format AMSBIB
\Bibitem{Pal85}
\by V.~P.~Palamodov
\paper Asymptotic expansions of integrals in complex and real regions
\jour Mat. Sb. (N.S.)
\yr 1985
\vol 127(169)
\issue 2(6)
\pages 209--238
\mathnet{http://mi.mathnet.ru/sm1966}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=792439}
\zmath{https://zbmath.org/?q=an:0618.41027}
\transl
\jour Math. USSR-Sb.
\yr 1986
\vol 55
\issue 1
\pages 207--236
\crossref{https://doi.org/10.1070/SM1986v055n01ABEH003000}
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  • https://www.mathnet.ru/eng/sm/v169/i2/p209
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:145
    English version PDF:13
    References:48
    First page:1
     
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