On two kinds of \(q\)-analogues of generalized Stirling numbers

DOI10.1007/s11139-016-9792-2zbMath1373.11024OpenAlexW2394713458MaRDI QIDQ1676054

Aimin Xu, Peipei Tang

Publication date: 3 November 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-016-9792-2

zbMATH Keywords

\(q\) analogue of Comtet's number\(q\)-divided differenceequality of Dobinski-type

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05)

Related Items (3)

Integral transform approach to mimetic discrete calculus ⋮ Asymptotic stability of \((q, h)\)-fractional difference equations ⋮ Some identities related to ther-Whitney numbers

Cites Work

• Generalized higher order Stirling numbers
• Exponential time integration and second-order difference scheme for a generalized Black-Scholes equation
• On a new family of generalized Stirling and Bell numbers
• On the differences of the generalized factorials at an arbitrary point and their combinatorial applications
• Set partitions with restrictions
• Pólya distributions, combinatorial identities, and generalized stirling numbers
• Modified approach to generalized Stirling numbers via differential operators
• Degenerate weighted Stirling numbers
• Generalized Stirling and Lah numbers
• Operational formulas connected with two generalizations of Hermite polynomials
• Stirling operators
• A unified approach to generalized Stirling numbers
• Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers
• \(q\)-analogues of multiparameter non-central Stirling and generalized harmonic numbers
• Non-central Stirling numbers and some applications
• Symmetric functions and the Vandermonde matrix
• On the \(q\)-differences of the generalized \(q\)-factorials
• Some applications of the \(q\)-exponential formula
• Determinants involving \(q\)-Stirling numbers
• The q-Stirling numbers of first and second kinds
• \(q\)-Bernoulli numbers and polynomials
• Two Notes on Notation
• A q-ANALOGUE OF THE GENERALIZED FACTORIAL NUMBERS
• A q-Analog of Restricted Growth Functions, Dobinski's Equality, and Charlier Polynomials
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