Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2018, Volume 108, Issue 12, Pages 834–837
DOI: https://doi.org/10.1134/S0370274X18240116 (Mi jetpl5781) 		 
This article is cited in 4 scientific papers (total in 4 papers)

METHODS OF THEORETICAL PHYSICS

Volterra chain and Catalan numbers

V. E. Adler, A. B. Shabat

Landau Institute for Theoretical Physics, Russian Academy of Science, Chernogolovka, Russia
Full-text PDF (185 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0370274X18240116
Abstract: We consider the Cauchy problem for the Volterra chain with an initial condition equal to 0 in one node and 1 in the others. It is shown that this problem admits an exact solution in terms of the Bessel functions. The Taylor series arising here are related to the exponential generating function for the Catalan numbers.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00289_a
Russian Science Foundation 15-11-20007
Received: 30.10.2018
English version:
Journal of Experimental and Theoretical Physics Letters, 2018, Volume 108, Issue 12, Pages 825–828
DOI: https://doi.org/10.1134/S0021364018240013
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. E. Adler, A. B. Shabat, “Volterra chain and Catalan numbers”, Pis'ma v Zh. Èksper. Teoret. Fiz., 108:12 (2018), 834–837; JETP Letters, 108:12 (2018), 825–828
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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