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Riordan matrices in the reciprocation of quadratic polynomials


Luzón, Ana y Morón, Manuel A. (2009) Riordan matrices in the reciprocation of quadratic polynomials. Linear Algebra and its Applications, 430 (8-9). pp. 2254-2270. ISSN 0024-3795

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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.

Tipo de documento:Artículo
Palabras clave:Inverse relations; arrays; involutions; sums; Banach's fixed point theorem; reciprocal of a quadratic polynomial; Riordan matrices; changes of variables
Materias:Ciencias > Matemáticas > Álgebra
Código ID:15132

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