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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 62, Pages 60–91 (Mi znsl2037)  
This article is cited in 1 scientific paper (total in 1 paper)

Uniform asymptotic expansions of solutions of the Mathieu equation and the modified Mathieu equation

N. S. Grigor'ev
Full-text PDF (1311 kB) Citations (1)
Abstract: By the method of the model equation, uniform asymptotic expansions of the Floquet solutions of the Mathieu equation and two linearly independent solutions of the modified Mathieu equation are obtained for any real values of the separation parameter contained in these equations.
English version:
Journal of Soviet Mathematics, 1979, Volume 11, Issue 5, Pages 700–721
DOI: https://doi.org/10.1007/BF01455049
Bibliographic databases:
UDC: 517.564
Language: Russian
Citation: N. S. Grigor'ev, “Uniform asymptotic expansions of solutions of the Mathieu equation and the modified Mathieu equation”, Mathematical problems in the theory of wave propagation. Part 8, Zap. Nauchn. Sem. LOMI, 62, "Nauka", Leningrad. Otdel., Leningrad, 1976, 60–91; J. Soviet Math., 11:5 (1979), 700–721
Citation in format AMSBIB
\Bibitem{Gri76}
\by N.~S.~Grigor'ev
\paper Uniform asymptotic expansions of solutions of the Mathieu equation and the modified Mathieu equation
\inbook Mathematical problems in the theory of wave propagation. Part~8
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 62
\pages 60--91
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2037}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=508370}
\zmath{https://zbmath.org/?q=an:0401.34040|0338.34052}
\transl
\jour J. Soviet Math.
\yr 1979
\vol 11
\issue 5
\pages 700--721
\crossref{https://doi.org/10.1007/BF01455049}
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  • https://www.mathnet.ru/eng/znsl/v62/p60
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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