The Triple Riordan Group

Abstract

We define the triple Riordan group, whose elements consist of 4-tuples of power series (g, f1, f2, f3) with g∈ R[[x3]], and f1, f2, f3 ∈ xR[[x3]], for an appropriate ring R. The construction of this group generalizes that of the double Riordan group, and lays the pattern for further generalizations.

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