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The Triple Riordan Group

Published 6 Dec 2024 in math.CO | (2412.05461v1)

Abstract: We define the triple Riordan group, whose elements consist of $4$-tuples of power series $(g, f_1, f_2, f_3)$ with $g\in \mathbf{R}[[x3]]$, and $f_1, f_2, f_3 \in x\mathbf{R}[[x3]]$, for an appropriate ring $\mathbf{R}$. The construction of this group generalizes that of the double Riordan group, and lays the pattern for further generalizations.

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