RT Journal Article
T1 Riordan matrices in the reciprocation of quadratic polynomials
A1 Luzón, Ana
A1 Alonso Morón, Manuel
AB We iterate contractive one-degree polynomials with coefficients in the ring K[[x]] of formal power series to calculate the reciprocal in K[[x]] of a quadratic polynomial. Doing this we meet thestructure of Riordan array. We interpret certain changes of variable as a Riordan array. We finish the paper by using our techniques to find new ways to get known formulas for the sum of powers of natural numbers involving Stirling and Eulerian numbers.
PB Elsevier Science
SN 0024-3795
YR 2009
FD 2009-04-15
LK https://hdl.handle.net/20.500.14352/42168
UL https://hdl.handle.net/20.500.14352/42168
LA eng
NO Luzón, A., Alonso Morón, M. «Riordan Matrices in the Reciprocation of Quadratic Polynomials». Linear Algebra and Its Applications, vol. 430, n.o 8-9, abril de 2009, pp. 2254-70. DOI.org (Crossref), https://doi.org/10.1016/j.laa.2008.12.001.
NO Directorate General for Higher Education (Portugal)
DS Docta Complutense
RD 11 abr 2025