Enviar artigo por via de e-mail Volterra Chain and Catalan Numbers
- Autores: Adler V.E.1, Shabat A.B.1
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Afiliações:
- Landau Institute for Theoretical Physics
- Edição: Volume 108, Nº 12 (2018)
- Páginas: 825-828
- Seção: Methods of Theoretical Physics
- URL: https://journals.rcsi.science/0021-3640/article/view/161350
- DOI: https://doi.org/10.1134/S0021364018240013
- ID: 161350
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Resumo
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.
Sobre autores
V. Adler
Landau Institute for Theoretical Physics
Autor responsável pela correspondência
Email: adler@itp.ac.ru
Rússia, Chernogolovka, Moscow region, 142432
A. Shabat
Landau Institute for Theoretical Physics
Email: adler@itp.ac.ru
Rússia, Chernogolovka, Moscow region, 142432
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