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Recurrence of a random walk on the halfline as the generating function for the Catalan numbers

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Publication:1144844
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DOI10.1016/0012-365X(80)90010-2zbMath0444.60056OpenAlexW2083708636MaRDI QIDQ1144844

Talbot M. Katz, Daniel I. A. Cohen

Publication date: 1980

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(80)90010-2

zbMATH Keywords

recurrencegenerating function for the Catalan numbers


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


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A probabilistic method for lattice path enumeration



Cites Work

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  • Singular continuous measures in scattering theory
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