Some identities for degenerate complete and incomplete \(r\)-Bell polynomials

DOI10.1186/s13660-020-2298-xzbMath1503.11055OpenAlexW3029482077MaRDI QIDQ2069293

Dae San Kim, Han Young Kim, Taekyun Kim, JongKyum Kwon

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/s13660-020-2298-x

zbMATH Keywords

degenerate complete \(r\)-Bell polynomialsdegenerate incomplete \(r\)-Bell polynomialsextended degenerate complete \(r\)-Bell polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (10)

New type of degenerate Daehee polynomials of the second kind ⋮ Bell polynomials and generalized Laplace transforms ⋮ Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials ⋮ Some properties of degenerate complete and partial Bell polynomials ⋮ Some new formulas of complete and incomplete degenerate Bell polynomials ⋮ A probabilistic interpretation of the Bell polynomials ⋮ Unnamed Item ⋮ A note on degenerate Genocchi and poly-Genocchi numbers and polynomials ⋮ The \(r\)-central factorial numbers with even indices ⋮ Some results on degenerate Daehee and Bernoulli numbers and polynomials

Cites Work

• On degenerate Bell numbers and polynomials
• The \(r\)-Stirling numbers
• Degenerate \(r\)-Stirling numbers and \(r\)-Bell polynomials
• Degenerate Laplace transform and degenerate gamma function
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• On central complete and incomplete Bell polynomials. I
• Degenerate central Bell numbers and polynomials
• Extended degenerate \(r\)-central factorial numbers of the second kind and extended degenerate \(r\)-central Bell polynomials
• Central factorial numbers; their main properties and some applications.
• A note on degenerate stirling polynomials of the second kind
• Extended stirling polynomials of the second kind and extended Bell polynomials
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