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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 2, Pages 196–217
DOI: https://doi.org/10.4213/tmf10105 (Mi tmf10105) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Representations of Bessel functions via the Maslov canonical operator

S. Yu. Dobrokhotov, D. S. Minenkov, V. E. Nazaikinskii

Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia
Full-text PDF (1217 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf10105
Abstract: We illustrate the construction and application of the Maslov canonical operator with examples of Bessel functions. For real values of the argument, we derive representations of these functions in terms of a canonical operator and, as a consequence, obtain the well-known asymptotics.
Keywords: semiclassical asymptotics, WKB approximation, canonical operator, Bessel function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation АААА-А20-120011690131-7
This work was supported by the Federal Target Program (state registration No. AAAA-A20-120011690131-7).
Received: 01.04.2021
Revised: 01.04.2021
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 2, Pages 1018–1037
DOI: https://doi.org/10.1134/S0040577921080031
Bibliographic databases:
Document Type: Article
MSC: 81Q20, 53D12, 33C10
Language: Russian
Citation: S. Yu. Dobrokhotov, D. S. Minenkov, V. E. Nazaikinskii, “Representations of Bessel functions via the Maslov canonical operator”, TMF, 208:2 (2021), 196–217; Theoret. and Math. Phys., 208:2 (2021), 1018–1037
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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