Some limit properties for the coefficients of the \(q\)-Catalan numbers

DOI10.1007/s13226-014-0075-6zbMath1331.05025OpenAlexW2468303501MaRDI QIDQ254736

Zikai Wu, Hongxia Du

Publication date: 8 March 2016

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-014-0075-6

zbMATH Keywords

law of large numbersBernoulli numbermoment generating function\(q\)-Catalan numbermoderate deviation principle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

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• q-Catalan numbers
• Catalan numbers, \(q\)-Catalan numbers and hypergeometric series
• Sharp bounds for the Bernoulli numbers
• The limiting distribution of the coefficients of the 𝑞-Catalan numbers
• Applications of q-Lagrange Inversion to Basic Hypergeometric Series

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