Combinatorial identities involving the central coefficients of a Sheffer matrix

DOI10.2298/AADM180226017MMaRDI QIDQ5091841

Emanuele Munarini

Publication date: 27 July 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionAppell sequenceSheffer sequencebinomial sumcombinatorial sum

Mathematics Subject Classification ID

Factorization of matrices (15A23) Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19)

Related Items (4)

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Cites Work

• Combinatorial identities of Engelberg and Jensen's formula
• The \(r\)-Stirling numbers
• Elementary proofs for convolution identities of Abel and Hagen-Rothe
• The umbral calculus
• On the Lambert \(w\) function
• Riordan arrays and the Abel-Gould identity
• The \(r\)-Lah numbers
• Decomposition of some Hankel matrices generated by the generalized rencontres polynomials
• Bijective proofs of Gould's and Rothe's identities
• The diagonal of a double power series
• Cayley continuants
• Concerning Appell sets and associated linear functional equations
• Some Generalizations of Vandermonde's Convolution
• Final Analysis of Vandermonde's Convolution
• A Course in Enumeration
• Combinatorial identities for Appell polynomials
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