Some properties of degenerate complete and partial Bell polynomials

DOI10.1186/s13662-021-03460-3zbMath1494.11027OpenAlexW3175782841MaRDI QIDQ2167042

Hyunseok Lee, Dae San Kim, Taekyun Kim, Seong-Ho Park, JongKyum Kwon

Publication date: 25 August 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-021-03460-3

zbMATH Keywords

degenerate Poisson random variabledegenerate complete Bell polynomialsdegenerate partial Bell polynomialsmodified degenerate complete Bell polynomialsmodified degenerate partial Bell polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (5)

Poly-falling factorial sequences and poly-rising factorial sequences ⋮ Characterization and stability analysis of advanced multi-quadratic functional equations ⋮ Analytical properties of type 2 degenerate poly-Bernoulli polynomials associated with their applications ⋮ Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers ⋮ Probabilistic degenerate Bell polynomials associated with random variables

Cites Work

• Identities for partial Bell polynomials derived from identities for weighted integer compositions
• \(r\)-Bell polynomials in combinatorial Hopf algebras
• New identities for the partial Bell polynomials
• A family of Bell transformations
• Degenerate Laplace transform and degenerate gamma function
• Exponential polynomials
• Some infinite integrals with powers of logarithms and the complete Bell polynomials
• Bell-Sheffer exponential polynomials of the second kind
• Some identities for degenerate complete and incomplete \(r\)-Bell polynomials
• Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials
• A note on a new type of degenerate Bernoulli numbers
• Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences
• Enumeration of colored Dyck paths via partial Bell polynomials
• Word Bell polynomials
• Correlation between Adomian and partial exponential Bell polynomials
• Introduction to Probability Models
• On degenerate central complete bell polynomials
• Two variable degenerate Bell polynomials associated with Poisson degenerate central moments
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