Identities induced by Riordan arrays
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Publication:649562
DOI10.1016/j.laa.2011.08.007zbMath1232.05011OpenAlexW1989691865MaRDI QIDQ649562
Donatella Merlini, Renzo Sprugnoli, Ana Luzón, Manuel Alonso-Morón
Publication date: 2 December 2011
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2011.08.007
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Hermitian, skew-Hermitian, and related matrices (15B57)
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Cites Work
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- Algebraic aspects of some Riordan arrays related to binary words avoiding a pattern
- Structural properties of Riordan matrices and extending the matrices
- Iterative processes related to Riordan arrays: the reciprocation and the inversion of power series
- The tennis ball problem
- A general umbral calculus in infinitely many variables
- Higher dimensional recursive matrices and diagonal delta sets of series
- Ultrametrics, Banach's fixed point theorem and the Riordan group
- Riordan matrices in the reciprocation of quadratic polynomials
- Sequence characterization of Riordan arrays
- Dual operators and Lagrange inversion in several variables
- The Riordan group
- Pascal triangles, Catalan numbers and renewal arrays
- Riordan arrays and combinatorial sums
- Groups of generalized Pascal matrices
- Recursive matrices and umbral calculus
- Generating trees and proper Riordan arrays
- Negation of binomial coefficients
- On Some Alternative Characterizations of Riordan Arrays
- Substitution Groups of Formal Power Series
- Recurrence relations for polynomial sequences via Riordan matrices