A note on Eulerian numbers and Toeplitz matrices

DOI10.1515/spma-2020-0103zbMath1484.11073OpenAlexW3033962165MaRDI QIDQ828082

Tian-Xiao He, Peter Jau-Shyong Shiue

Publication date: 14 January 2021

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

Full work available at URL: https://doi.org/10.1515/spma-2020-0103

zbMATH Keywords

inverse matricesToeplitz matricesEulerian numbersRiordan arrays

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Triangular recurrences, generalized Eulerian numbers, and related number triangles

Cites Work

• Row sums and alternating sums of Riordan arrays
• Production matrices and riordan arrays
• Sequence characterization of Riordan arrays
• Degenerate weighted Stirling numbers
• The Riordan group
• On certain summation problems and generalizations of Eulerian polynomials and numbers
• Riordan arrays and combinatorial sums
• The Sheffer group and the Riordan group
• An Algorithm for Sums of Integer Powers
• Combinatorial Identities for Stirling Numbers
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