The \(q\)-Catalan numbers: a saddle point approach

DOI10.1007/S00026-011-0097-2zbMath1233.05026OpenAlexW2102013966MaRDI QIDQ659625

Guy Louchard, Prodinger, Helmut

Publication date: 24 January 2012

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-011-0097-2

zbMATH Keywords

saddle point method\(q\)-Catalan numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05) Asymptotic enumeration (05A16)

Cites Work

• Mellin transforms and asymptotics: Harmonic sums
• On the moments of a distribution defined by the Gaussian polynomials.
• The limiting distribution of the coefficients of the 𝑞-Catalan numbers
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