Riordan arrays associated with Laurent series and generalized Sheffer-type groups

DOI10.1016/j.laa.2011.03.004zbMath1223.05012OpenAlexW2022583102MaRDI QIDQ551277

Yong-Cai Geng, Sumit K. Garg

Publication date: 15 July 2011

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

Full work available at URL: https://digitalcommons.iwu.edu/math_scholarship/64

zbMATH Keywords

generalized Stirling numbersLaurent seriesBell subgroupRiordan arraysAppell subgrouphitting-time subgroupassociated subgroupgeneralized Sheffer groupSheffer-type polynomial sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30)

Related Items (9)

Overview on Heisenberg-Weyl algebra and subsets of Riordan subgroups ⋮ Parametric Catalan numbers and Catalan triangles ⋮ On an extension of Riordan array and its application in the construction of convolution-type and Abel-type identities ⋮ Some algebraic structure of the Riordan group ⋮ Exponential-type extended Riordan arrays and reciprocity law for generalized Stirling numbers ⋮ Matrix characterizations of Riordan arrays ⋮ Algebraic properties of Riordan subgroups ⋮ A determinantal approach to Sheffer sequences ⋮ A Riordan array approach to Apostol type-Sheffer sequences

Cites Work

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• Left-inversion of combinatorial sums
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• Riordan arrays and the Abel-Gould identity
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• The Sheffer group and the Riordan group
• Riordan group involutions
• On Some Alternative Characterizations of Riordan Arrays
• Faber polynomials in the theory of univalent functions
• Some open questions about random walks, involutions, limiting distributions, and generating functions

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