Some identities on \(r\)-central factorial numbers and \(r\)-central Bell polynomials

DOI10.1186/s13662-019-2195-0zbMath1459.11066arXiv1903.11689OpenAlexW2963306140WikidataQ127647937 ScholiaQ127647937MaRDI QIDQ2424373

Yanyan Li

Publication date: 24 June 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11689

zbMATH Keywords

extended \(r\)-central factorial Bell polynomialsextended \(r\)-central factorial numbers of the second and first kinds

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (7)

Extended \(r\)-central Bell polynomials with umbral calculus viewpoint ⋮ Central factorial numbers associated with sequences of polynomials ⋮ Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus ⋮ \(\lambda\)-analogues of Stirling polynomials of the first kind and their applications ⋮ Extended degenerate \(r\)-central factorial numbers of the second kind and extended degenerate \(r\)-central Bell polynomials ⋮ On \(r\)-central incomplete and complete Bell polynomials ⋮ The \(r\)-central factorial numbers with even indices

Cites Work

• Some identities of Bell polynomials
• Degenerate \(r\)-Stirling numbers and \(r\)-Bell polynomials
• Extended central factorial polynomials of the second kind
• On weighted \(q\)-Daehee polynomials with their applications
• Degenerate central Bell numbers and polynomials
• The Divided Central Differences of Zero
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