A probabilistic interpretation of the Bell polynomials

DOI10.1080/07362994.2021.1942917zbMath1492.60022OpenAlexW3174891452MaRDI QIDQ5085212

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Publication date: 27 June 2022

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2021.1942917

zbMATH Keywords

recurrence relationsBell polynomialsprobabilistic methodAdomian polynomialsPoisson distribution of order n

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Probability distributions: general theory (60E05) Combinatorial identities, bijective combinatorics (05A19) Combinatorial probability (60C05)

Cites Work

• Compositions, random sums and continued random fractions of Poisson and fractional Poisson processes
• New identities for the partial Bell polynomials
• A convenient computational form for the Adomian polynomials
• Recurrence triangle for Adomian polynomials
• Solving frontier problems of physics: the decomposition method
• Exponential polynomials
• Some identities for degenerate complete and incomplete \(r\)-Bell polynomials
• Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials
• On central complete and incomplete Bell polynomials. I
• Correlation between Adomian and partial exponential Bell polynomials
• Some applications of the fractional Poisson probability distribution
• A probabilistic approach to Adomian polynomials
• On degenerate central complete bell polynomials
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