On an extension of Riordan array and its application in the construction of convolution-type and Abel-type identities

DOI10.1016/j.ejc.2014.05.010zbMath1307.05012OpenAlexW2004740301MaRDI QIDQ404449

Xing Ron Ma, Tian-Xiao He, Leetsch C. Hsu

Publication date: 4 September 2014

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2014.05.010

Mathematics Subject Classification ID

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

Related Items (4)

Applications of Riordan matrix functions to Bernoulli and Euler polynomials ⋮ Multivariate Riordan groups and their representations ⋮ Riordan array approach to the coefficients of Ramanujan's harmonic number expansion ⋮ Riordan arrays and related polynomial sequences

Cites Work

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• Combinatorics of Riordan arrays with identical \(A\) and \(Z\) sequences
• Riordan arrays associated with Laurent series and generalized Sheffer-type groups
• Identities induced by Riordan arrays
• Production matrices and riordan arrays
• A pair of operator summation formulas and their applications
• An algebraic structure for Faber polynomials
• Generalized Riordan arrays
• Combinatorial sums and implicit Riordan arrays
• Symbolization of generating functions; an application of the Mullin-Rota theory of binomial enumeration
• Sequence characterization of Riordan arrays
• The theory of the umbral calculus. I
• The Riordan group
• The umbral calculus
• Pascal triangles, Catalan numbers and renewal arrays
• Riordan arrays and combinatorial sums
• Bijections and the Riordan group
• Riordan arrays and the Abel-Gould identity
• Parametric Catalan numbers and Catalan triangles
• A divisibility property for a subgroup of Riordan matrices
• The Sheffer group and the Riordan group
• Schröder matrix as inverse of Delannoy matrix
• Riordan group involutions
• Convergence of the summation formulas constructed by using a symbolic operator approach
• On Some Alternative Characterizations of Riordan Arrays
• Some open questions about random walks, involutions, limiting distributions, and generating functions

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