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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… Click to show full 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.
Keywords:
catalan numbers;
volterra chain;
chain catalan
Journal Title: JETP Letters
Year Published: 2018
Link to full text (if available)
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Journal Title: JETP Letters
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!