Endomorphisms of the Riordan group

DOI10.1080/03081087.2019.1635980zbMath1470.15008OpenAlexW2954402797MaRDI QIDQ5005280

Pasquale Petrullo, Domenico Senato

Publication date: 9 August 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1635980

zbMATH Keywords

endomorphismsinner automorphismsRiordan group

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Combinatorics of a generalized Narayana identity
• Combinatorial sums through Riordan arrays
• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• Riordan arrays and generalized Lagrange series
• The hitting time subgroup, Łukasiewicz paths and Faber polynomials
• Identities induced by Riordan arrays
• A new aspect of Riordan arrays via Krylov matrices
• Sequence characterization of Riordan arrays
• The Riordan group
• Riordan arrays and combinatorial sums
• Sequence characterizations of double Riordan arrays and their compressions
• Recursive matrices and umbral calculus
• Bijections and the Riordan group
• Some algebraic structure of the Riordan group
• A generalization of the \(k\)-bonacci sequence from Riordan arrays
• The Sheffer group and the Riordan group
• A symbolic treatment of Riordan arrays
• On Some Alternative Characterizations of Riordan Arrays
• Generalized Schröder matrix and its combinatorial interpretation
• On One-Parameter Catalan Arrays

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