Combinatorial identities involving degenerate harmonic and hyperharmonic numbers

DOI10.1016/j.aam.2023.102535zbMath1529.11043MaRDI QIDQ6044317

Dae San Kim, Taekyun Kim

Publication date: 17 May 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

degenerate Fubini polynomialsdegenerate \(r\)-Fubini polynomialsdegenerate harmonic numbersdegenerate hyperharmonic numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Special sequences and polynomials (11B83)

Related Items (6)

Some identities on generalized harmonic numbers and generalized harmonic functions ⋮ Normal ordering associated with \(\lambda\)-Whitney numbers of the first kind in \(\lambda\)-shift algebra ⋮ Euler-type integrals for the generalized hypergeometric matrix function ⋮ Probabilistic Bernoulli and Euler polynomials ⋮ Some identities of degenerate multi-poly-Changhee polynomials and numbers ⋮ Lerch-harmonic numbers related to Lerch transcendent

Cites Work

• The \(r\)-Stirling numbers
• Degenerate \(r\)-Stirling numbers and \(r\)-Bell polynomials
• Fully degenerate Bell polynomials associated with degenerate Poisson random variables
• A note on degenerate \(r\)-Stirling numbers
• On some degenerate differential and degenerate difference operators
• A note on a new type of degenerate Bernoulli numbers
• Degenerate Whitney numbers of first and second kind of Dowling lattices
• Some identities on degenerate \(r\)-Stirling numbers via Boson operators
• Some identities involving degenerate r-Stirling numbers
• Some identities of degenerate Fubini polynomials arising from differential equations
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