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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 3, Pages 334–344
DOI: https://doi.org/10.4213/tmf6474 (Mi tmf6474) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Commuting differential operators

A. B. Shabatab, Z. S. El'kanovab

a Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
b Aliev Karachaevo-Cherkesiya State University, Karachaevsk, Russia
Full-text PDF (421 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6474
Abstract: We consider a model problem, related to Bessel functions, in the theory of commutative rings of linear differential operators with one independent variable. We construct new series of such commutative rings and give simple examples of rings with three generators.
Keywords: Bessel function, commuting ring of differential operators.
Received: 07.09.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 3, Pages 276–285
DOI: https://doi.org/10.1007/s11232-010-0022-6
Bibliographic databases:
Language: Russian
Citation: A. B. Shabat, Z. S. El'kanova, “Commuting differential operators”, TMF, 162:3 (2010), 334–344; Theoret. and Math. Phys., 162:3 (2010), 276–285
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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