A note on degenerate \(r\)-Stirling numbers

DOI10.1186/s13660-020-02492-9zbMath1503.11054OpenAlexW3088269311MaRDI QIDQ2069565

Yanyan Li

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02492-9

zbMATH Keywords

degenerate \(r\)-Stirling numbers of first kinddegenerate \(r\)-Stirling numbers of second kindunsigned degenerate \(r\)-Stirling numbers of first kind

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19)

Related Items (10)

A FINITE SUM INVOLVING GENERALIZED FALLING FACTORIAL POLYNOMIALS AND DEGENERATE EULERIAN POLYNOMIALS ⋮ Degenerate Lah-Bell polynomials arising from degenerate Sheffer sequences ⋮ Degenerate \(r\)-Whitney numbers and degenerate \(r\)-Dowling polynomials via boson operators ⋮ Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function ⋮ Poly-central factorial sequences and poly-central-Bell polynomials ⋮ Representations of degenerate Hermite polynomials ⋮ Degenerate Whitney numbers of first and second kind of Dowling lattices ⋮ Combinatorial identities involving degenerate harmonic and hyperharmonic numbers ⋮ Fully degenerate Bernoulli numbers and polynomials ⋮ Some identities on degenerate \(r\)-Stirling numbers via Boson operators

Cites Work

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• The \(r\)-Stirling numbers
• Degenerate \(r\)-Stirling numbers and \(r\)-Bell polynomials
• Degenerate Laplace transform and degenerate gamma function
• Degenerate poly-Bernoulli polynomials arising from degenerate polylogarithm
• Some identities of Lah-Bell polynomials
• A note on a new type of degenerate Bernoulli numbers
• Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• Degenerate polyexponential functions and degenerate Bell polynomials
• A note on polyexponential and unipoly functions
• A note on degenerate stirling polynomials of the second kind

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