Volterra Chain and Catalan Numbers
- Авторлар: Adler V.E.1, Shabat A.B.1
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Мекемелер:
- Landau Institute for Theoretical Physics
- Шығарылым: Том 108, № 12 (2018)
- Беттер: 825-828
- Бөлім: Methods of Theoretical Physics
- URL: https://ogarev-online.ru/0021-3640/article/view/161350
- DOI: https://doi.org/10.1134/S0021364018240013
- ID: 161350
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Adler
Landau Institute for Theoretical Physics
Хат алмасуға жауапты Автор.
Email: adler@itp.ac.ru
Ресей, Chernogolovka, Moscow region, 142432
A. Shabat
Landau Institute for Theoretical Physics
Email: adler@itp.ac.ru
Ресей, Chernogolovka, Moscow region, 142432
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