A q-ANALOGUE OF QI FORMULA FOR r-DOWLING NUMBERS

DOI10.4134/CKMS.c180478zbMath1451.05017OpenAlexW3022350680MaRDI QIDQ5133929

Joy Antonette Cillar, Roberto B. Corcino

Publication date: 11 November 2020

Full work available at URL: http://koreascience.or.kr/article/JAKO202011951161654.page

zbMATH Keywords

generating functionrecurrence relationLah numbers\(q\)-analogueexplicit formula\(r\)-Dowling numbers\(r\)-Whitney numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

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• \(r\)-Whitney numbers of Dowling lattices
• A new formula for the Bernoulli polynomials
• An explicit formula for the Bell numbers in terms of the Lah and Stirling numbers
• On Whitney numbers of Dowling lattices
• A comprehensive study of \(r\)-Dowling polynomials
• New combinatorial interpretations of \(r\)-Whitney and \(r\)-Whitney-Lah numbers
• A \(q\)-analogue of Rucinski-Voigt numbers
• \(q\)-Bernoulli numbers and polynomials
• Analogies of the Qi formula for some Dowling type numbers

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