On poly-Bell numbers and polynomials

DOI10.2989/16073606.2020.1805039zbMath1486.11033arXiv1812.04136OpenAlexW3088567596MaRDI QIDQ5023607

Diffalah Laissaoui, Mourad Rahmani, Madjid Sebaoui, Ghania Guettai

Publication date: 24 January 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04136

zbMATH Keywords

combinatorial identitieshypergeometric functionprobabilistic representation\(p\)-Bell numbers\(p\)-Bell polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Cites Work

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• Some results on Whitney numbers of Dowling lattices
• On generalized Bell polynomials
• Sum of the reciprocals of the binomial coefficients
• The \(r\)-Stirling numbers
• Poly-Bernoulli numbers
• Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials
• On \(p\)-Bernoulli numbers and polynomials
• The Beta-Poisson Distribution in Wadley’s Problem
• Generalized Stirling transform
• Bernoulli Numbers and Zeta Functions

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