Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials

DOI10.1186/S13662-021-03258-3zbMath1494.11026arXiv2101.01348OpenAlexW3165499162MaRDI QIDQ2166798

Han Young Kim, Taekyun Kim, Hyunseok Lee, Dae San Kim, Lee-Chae Jang

Publication date: 25 August 2022

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

Full work available at URL: https://arxiv.org/abs/2101.01348

zbMATH Keywords

complete \(r\)-extended lah-Bell polynomialincomplete \(r\)-extended Lah-Bell polynomial

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (7)

A STUDY ON MULTI-STIRLING NUMBERS OF THE FIRST KIND ⋮ Poly-falling factorial sequences and poly-rising factorial sequences ⋮ Bell polynomials and generalized Laplace transforms ⋮ Some properties of degenerate complete and partial Bell polynomials ⋮ Some new formulas of complete and incomplete degenerate Bell polynomials ⋮ A note on degenerate generalized Laguerre polynomials and Lah numbers ⋮ A probabilistic interpretation of the Bell polynomials

Cites Work

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• The \(r\)-Stirling numbers
• The complete Bell polynomials for certain arguments in terms of Stirling numbers of the first kind
• Some identities for degenerate complete and incomplete \(r\)-Bell polynomials
• Some identities of Lah-Bell polynomials
• Degenerate Lah-Bell polynomials arising from degenerate Sheffer sequences
• On central complete and incomplete Bell polynomials. I
• The \(r\)-Lah numbers
• Word Bell polynomials
• Bell polynomials and binomial type sequences
• Arithmetic properties of the Bell polynomials
• Lah-Bell numbers and polynomials
• r-extended Lah-Bell numbers and polynomials associated with r-Lah numbers

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