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Matematicheskie Zametki, 2023, Volume 114, Issue 3, Pages 347–352
DOI: https://doi.org/10.4213/mzm13975 (Mi mzm13975) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Approximation of Mathieu Functions by Parabolic Cylinder Functions

E. A. Zlobina

Saint Petersburg State University
Full-text PDF (475 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13975
Abstract: The Mathieu equation with complex coefficients of a special form is considered. Simple nonuniform asymptotics of its solutions in terms of parabolic cylinder functions are constructed.
Keywords: Mathieu equation, asymptotics, parabolic cylinder function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2022-287
This work was supported by the Ministry of Science and Higher Education of the Russian Federation (contract no. 075-15-2022-287 of 06.04.2022).
Received: 08.04.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 3, Pages 303–307
DOI: https://doi.org/10.1134/S0001434623090031
Bibliographic databases:
Document Type: Article
UDC: 517.928.1
MSC: 34E05
Language: Russian
Citation: E. A. Zlobina, “Approximation of Mathieu Functions by Parabolic Cylinder Functions”, Mat. Zametki, 114:3 (2023), 347–352; Math. Notes, 114:3 (2023), 303–307
Citation in format AMSBIB
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\by E.~A.~Zlobina
\paper Approximation of Mathieu Functions by Parabolic
Cylinder Functions
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 3
\pages 347--352
\mathnet{http://mi.mathnet.ru/mzm13975}
\crossref{https://doi.org/10.4213/mzm13975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4658783}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 3
\pages 303--307
\crossref{https://doi.org/10.1134/S0001434623090031}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85174608796}
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  • https://doi.org/10.4213/mzm13975
  • https://www.mathnet.ru/eng/mzm/v114/i3/p347
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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