On the \(q\)-differences of the generalized \(q\)-factorials

DOI10.1016/0378-3758(95)00154-9zbMath0858.05014OpenAlexW2043403537MaRDI QIDQ1923403

Charalambos A. Charalambides

Publication date: 11 March 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00154-9

zbMATH Keywords

inversion statistic\(q\)-factorial\(q\)-differences\(q\)-Stirling numbersFerrers board\(q\)-numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items (8)

\(q\)-analogues of multiparameter non-central Stirling and generalized harmonic numbers ⋮ On two kinds of \(q\)-analogues of generalized Stirling numbers ⋮ A distributed memory parallel algorithm for the efficient computation of sensitivities of differential-algebraic systems ⋮ Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers ⋮ Unnamed Item ⋮ The q-Stirling numbers of the second kind and its applications ⋮ Combinatorial Identities for Generalized Stirling Numbers Expanding $f$-Factorial Functions and the $f$-Harmonic Numbers ⋮ Moments of a class of discrete \(q\)-distributions

Cites Work

• Unnamed Item
• Q-counting rook configurations and a formula of Frobenius
• A combinatorial interpretation of q-derangement and q-Laguerre numbers
• The asymptotic normality of certain combinatorial distributions
• The q-Stirling numbers of first and second kinds
• \(q\)-Bernoulli numbers and polynomials
• Review of the stirling numbers, their generalizations and Statistical Applications
• A New Kind of Numbers Appearing in the n-Fold Convolution of Truncated Binomial and Negative Binomial Distributions
• Some Properties and Applications of the Differences of the Generalized Factorials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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