Shift operators defined in the Riordan group and their applications

He, Tian-Xiao

doi:10.1016/j.laa.2016.02.003

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Cited by 6 publications

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“…Definition 4 [10,18] Let K be a Riordan matrix and M = (1, −z). If K * M is an involution, then we call K a pseudo-involution, i.e.…”

Section: Examplementioning

confidence: 99%

Algebraic properties of Riordan subgroups

2020

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We present properties of the group structure of Riordan arrays. We examine similar properties among known Riordan subgroups, and from this, we define H [r , s, p], a family of Riordan arrays. We generalize conditions for involutions, and pseudoinvolutions of H [r , s, p], and we present stabilizers of this family. We find abelian subgroups as intersections of Riordan subgroups and show some alternative semidirect products of the Riordan group.

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“…Definition 4 [10,18] Let K be a Riordan matrix and M = (1, −z). If K * M is an involution, then we call K a pseudo-involution, i.e.…”

Section: Examplementioning

confidence: 99%