\(q\)-analogues of multiparameter non-central Stirling and generalized harmonic numbers

DOI10.1016/j.amc.2014.01.026zbMath1410.11019OpenAlexW2005258068MaRDI QIDQ1646084

Nenad P. Cakić, Rabab S. Gomaa, Beih S. El-Desouky

Publication date: 22 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.026

zbMATH Keywords

Stirling numbers\(q\)-analogueharmonic numbers\(q\)-Stirling numbersComtet numbersgeneralized \(q\)-harmonic numbersmultiparameter non-central Stirling numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73)

Related Items (2)

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

Uses Software

• Maple

Cites Work

• Some summation formulas involving harmonic numbers and generalized harmonic numbers
• Certain summation formulas involving harmonic numbers and generalized harmonic numbers
• Some theorems on the \(q\)-analogue of the generalized Stirling numbers
• Determinant expressions for \(q\)-harmonic congruences and degenerate Bernoulli numbers
• Non-central generalized \(q\)-factorial coefficients and \(q\)-Stirling numbers
• On the \(q\)-differences of the generalized \(q\)-factorials
• A Method for q-Calculus
• On the Foundations of Combinatorial Theory V, Eulerian Differential Operators
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