scientific article; zbMATH DE number 7157989

zbMath1431.05009MaRDI QIDQ5212141

Ângela Mestre, José Agapito

Publication date: 27 January 2020

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL22/Mestre/mestre2.html

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zbMATH Keywords

automorphismRiordan group\(Z\)-sequenceRiordan pseudo-involutioninfinite array\(B(x)\)-sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36)

Related Items (1)

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• OEIS

Cites Work

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• Row sums and alternating sums of Riordan arrays
• Structural properties of Riordan matrices and extending the matrices
• The hitting time subgroup, Łukasiewicz paths and Faber polynomials
• Identities induced by Riordan arrays
• Riordan group involutions and the \(\varDelta \)-sequence
• Sequence characterization of Riordan arrays
• The Riordan group
• Riordan arrays and combinatorial sums
• Bijections and the Riordan group
• Some algebraic structure of the Riordan group
• A divisibility property for a subgroup of Riordan matrices
• Generating trees and proper Riordan arrays
• The Sheffer group and the Riordan group
• A formula to construct all involutions in Riordan matrix groups
• Complementary Riordan arrays
• Riordan group involutions
• On Some Alternative Characterizations of Riordan Arrays
• The on-line encyclopedia of integer sequences
• Some open questions about random walks, involutions, limiting distributions, and generating functions
• Recurrence relations for polynomial sequences via Riordan matrices

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