Here we insert some general considerations on the history, the properties and the applications of the Riordan group. The group of Riordan arrays was introduced in 1991 by Shapiro, Getu, Woan, and Woodson [6], with the aim of defining a class of infinite lower triangular arrays with properties analogous to those of the Pascal triangle. Soon, the concept became popular [5] and Sprugnoli in particular showed that these arrays constitute a practical device for solving combinatorial sums by means of the generating functions [7, 8].
Introduction / Shapiro L.; Sprugnoli R.; Barry P.; Cheon G.-S.; He T.-X.; Merlini D.; Wang W.. - STAMPA. - (2022), pp. 1-17. [10.1007/978-3-030-94151-2_1]
Introduction
Sprugnoli R.;Merlini D.;
2022
Abstract
Here we insert some general considerations on the history, the properties and the applications of the Riordan group. The group of Riordan arrays was introduced in 1991 by Shapiro, Getu, Woan, and Woodson [6], with the aim of defining a class of infinite lower triangular arrays with properties analogous to those of the Pascal triangle. Soon, the concept became popular [5] and Sprugnoli in particular showed that these arrays constitute a practical device for solving combinatorial sums by means of the generating functions [7, 8].
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