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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 451, Pages 178–187 (Mi znsl6352)  
This article is cited in 5 scientific papers (total in 5 papers)

Quasiclassical asymptotics of Malyuzhinets functions

A. A. Fedotov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (192 kB) Citations (5)
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Abstract: On the complex plane, we consider a difference equation related to the Malyuzhinets equation. Assuming that the translation parameter in the difference equation is small, we get the asymptotics of its solutions.
Key words and phrases: Mulyuzhinets function, difference equations, quasiclassical asymptotics.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00760-а
Saint Petersburg State University 11.38.263.2014
Received: 01.11.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 226, Issue 6, Pages 810–816
DOI: https://doi.org/10.1007/s10958-017-3568-0
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. A. Fedotov, “Quasiclassical asymptotics of Malyuzhinets functions”, Mathematical problems in the theory of wave propagation. Part 46, Zap. Nauchn. Sem. POMI, 451, POMI, St. Petersburg, 2016, 178–187; J. Math. Sci. (N. Y.), 226:6 (2017), 810–816
Citation in format AMSBIB
\Bibitem{Fed16}
\by A.~A.~Fedotov
\paper Quasiclassical asymptotics of Malyuzhinets functions
\inbook Mathematical problems in the theory of wave propagation. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 451
\pages 178--187
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6352}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589173}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 226
\issue 6
\pages 810--816
\crossref{https://doi.org/10.1007/s10958-017-3568-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85030316025}
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  • https://www.mathnet.ru/eng/znsl/v451/p178
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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