The dual of number sequences, Riordan polynomials, and Sheffer polynomials

DOI10.1515/spma-2021-0153zbMath1479.05017OpenAlexW4200522788MaRDI QIDQ2076173

Yanyan Li

Publication date: 18 February 2022

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2021-0153

zbMATH Keywords

Riordan arrayFuss-Catalan numbersBernoulli numbers and polynomialsSheffer sequencedual number sequencedual Sheffer sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Uses Software

• OEIS

Cites Work

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• Row polynomial matrices of Riordan arrays
• Staircase tilings and \(k\)-Catalan structures
• The Riordan group
• The umbral calculus
• Bijections and the Riordan group
• The Sheffer group and the Riordan group
• Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
• Extensions of set partitions and permutations
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Duals of Bernoulli Numbers and Polynomials and Euler Number and Polynomials
• Notes on the Binomial Transform
• Shift operators defined in the Riordan group and their applications

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