Combinatorial identities for Appell polynomials

DOI10.2298/AADM161001004MzbMath1488.05027WikidataQ60692736 ScholiaQ60692736MaRDI QIDQ5155716

Emanuele Munarini

Publication date: 8 October 2021

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

zbMATH Keywords

combinatorial identitiesumbral calculusAppell polynomialsbinomial coefficients

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19)

Related Items (10)

Umbral operators for Cayley and Sylvester continuants ⋮ Combinatorial identities involving the central coefficients of a Sheffer matrix ⋮ Unnamed Item ⋮ Decomposition of some Hankel matrices generated by the generalized rencontres polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

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• Eulerian numbers and polynomials of higher order
• The \(r\)-Stirling numbers
• Extended Zeilberger's algorithm for identities on Bernoulli and Euler polynomials
• The umbral calculus
• Combinatorial identities in dual sequences
• A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials
• Applications of the classical umbral calculus
• Products of Appell polynomials
• Polynomials satisfying a binomial theorem
• Some results for Carlitz’s q-Bernoulli numbers and polynomials
• Numbers Generated by the Reciprocal of e x - x - 1
• Riordan matrices and sums of harmonic numbers
• HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES
• The Number of Partitions of a Set

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