6 citations · 14 across the 3 of their papers we have counts for
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A Symbolic Treatment of Riordan Arrays
José Agapito, Ângela Mestre, Pasquale Petrullo +1
We approach Riordan arrays and their generalizations via umbral symbolic methods. This new approach allows us to derive fundamental aspects of the theory of Riordan arrays as immed…
On One-Parameter Catalan Arrays
José Agapito, Ângela Mestre, Pasquale Petrullo +1
We present a parametric family of Riordan arrays which are obtained by multiplying any Riordan array with a generalized Pascal array. In particular, we focus on some interesting pr…
Riordan arrays and applications via the classical umbral calculus
José Agapito, Ângela Mestre, Pasquale Petrullo +1
We use the classical umbral calculus to describe Riordan arrays. Here, a Riordan array is generated by a pair of umbrae, and this provides efficient proofs of several basic results…