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Riordan matrices(or Riordan arrays) have been introduced in 1991 by L. W. Shapiro et al. with the aim of defining a class of infinite lower triangular arrays with properties analogous to those of the Pascal triangle and since then they have attracted, and continue to attract, much attention in the literature. In particular, the algebraic structure of these matrices, their relationship with the computation of combinatorial sums and many combinatorial applications have been studied over the years.