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Discrete Applied Mathematics
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Self-inverse Sheffer sequences and Riordan involutions

Authors: Ana Luzón; Manuel A. Morón;

Self-inverse Sheffer sequences and Riordan involutions

Abstract

In this short note we focus on self-inverse Sheffer sequences and involutions in the Riordan group. We translate the results of Brown and Kuczma on self-inverse sequences of Sheffer polynomials to describe all involutions in the Riordan group.

8 pages

Keywords

Involution, 33A70, Riordan group, Applied Mathematics, Exact enumeration problems, generating functions, Self-inverse Sheffer sequence, Special sequences and polynomials, involution, FOS: Mathematics, 05A15; 33A70, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, self-inverse Sheffer sequence, Combinatorics (math.CO), 05A15

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
hybrid