General identities on Bell polynomials

DOI10.1016/j.camwa.2009.03.093zbMath1189.33021OpenAlexW2053213944MaRDI QIDQ980094

Weiping Wang, Tian-ming Wang

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.093

zbMATH Keywords

combinatorial identitiesassociated sequencesBell polynomialsSheffer sequencescross sequences

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (13)

A family of Bell transformations ⋮ On a generalization of the Pentagonal Number Theorem ⋮ Inverse relations and reciprocity laws involving partial Bell polynomials and related extensions ⋮ Factorial moments of the critical Markov branching process with geometric reproduction of particles ⋮ Wright function in the solution to the Kolmogorov equation of the Markov branching process with geometric reproduction of particles ⋮ The partial \(r\)-Bell polynomials ⋮ Geometric branching reproduction Markov processes ⋮ Asymptotic analysis of boundary layers in a repulsive particle system ⋮ On rational Dyck paths and the enumeration of factor-free Dyck words ⋮ Algebraic Conditions for Stability Analysis of Linear Time‐Invariant Distributed Order Dynamic Systems: A Lagrange Inversion Theorem Approach ⋮ A Low-Rank Technique for Computing the Quasi-Stationary Distribution of Subcritical Galton--Watson Processes ⋮ Unnamed Item ⋮ Combinatorial solutions to coagulation kernel for linear chains

Cites Work

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• Multidimensional Bell polynomials of higher order
• Matrices related to the Bell polynomials
• Bell polynomials and \(k\)-generalized Dyck paths
• Identities on Bell polynomials and Sheffer sequences
• The umbral calculus
• Bell polynomials and differential equations of Freud-type polynomials
• Bell polynomials of arbitrary (fractional) orders\(+\)
• An extension of the Bell polynomials
• On new identities for Bell's polynomials
• Bell polynomials and binomial type sequences
• Some identities involving the binomial sequences
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• The role of Bell polynomials in integration

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