Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers

DOI10.1016/S0012-365X(03)00099-2zbMath1030.05011OpenAlexW2043423075MaRDI QIDQ1420586

Charalambos A. Charalambides

Publication date: 2 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(03)00099-2

zbMATH Keywords

\(q\)-distributions\(q\)-Stirling numbersGeneralized \(q\)-factorial coefficients

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (11)

\(q\)-analogues of multiparameter non-central Stirling and generalized harmonic numbers ⋮ A \(q\)-analog of dual sequences with applications ⋮ Continued fractions and \(q\)-series generating functions for the generalized sum-of-divisors functions ⋮ On two kinds of \(q\)-analogues of generalized Stirling numbers ⋮ Generalized Stirling numbers and hyper-sums of powers of binomials coefficients ⋮ On \(q\)-operators and summation of some \(q\)-series ⋮ On Asymptotics for the Signless Noncentral q‐Stirling Numbers of the First Kind ⋮ A q-analogue of α־-Whitney numbers ⋮ Generalized approximate counting revisited ⋮ Discrete \(q\)-distributions on Bernoulli trials with a geometrically varying success probability ⋮ Moments of a class of discrete \(q\)-distributions

Cites Work

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• Generalized Stirling Numbers, Convolution Formulae and p, q-Analogues
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