RT Journal Article
T1 Identities induced by Riordan arrays
A1 Alonso Morón, Manuel
A1 Luzón, Ana
A1 Merlini, Donatella
A1 Sprugnoli, Renzo
AB Historically, there exist two versions of the Riordan array concept. The older one (better known as recursive matrix) consists of bi-infinite matrices (d(n,k)) (n,k is an element of Z) (k > n implies d(n,k) = 0), deals with formal Laurent series and has been mainly used to study algebraic properties of such matrices. The more recent version consists of infinite, lower triangular arrays (d(n,k)) (n,k is an element of N) (k > n implies d(n,k) = 0), deals with formal power series and has been used to study combinatorial problems. Here we show that every Riordan array induces two characteristic combinatorial sums in three parameters n, k, m is an element of Z. These parameters can he specialized and generate an indefinite number of other combinatorial identities which are valid in the hi-infinite realm of recursive matrices.
PB Elsevier
SN 0024-3795
YR 2012
FD 2012-02-01
LK https://hdl.handle.net/20.500.14352/42104
UL https://hdl.handle.net/20.500.14352/42104
LA eng
NO Luzón, A., Alonso Morón, M., Merlini, D., Sprugnoli, R. «Identities Induced by Riordan Arrays». Linear Algebra and Its Applications, vol. 436, n.o 3, febrero de 2012, pp. 631-47. DOI.org (Crossref), https://doi.org/10.1016/j.laa.2011.08.007.
DS Docta Complutense
RD 26 abr 2025