Luzón, Ana and 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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Restricted to Repository staff only until 31 December 2020. 208kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0024379508005673

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Inverse relations; arrays; involutions; sums; Banach's fixed point theorem; reciprocal of a quadratic polynomial; Riordan matrices; changes of variables |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 15132 |

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Deposited On: | 08 May 2012 10:35 |

Last Modified: | 06 Feb 2014 10:17 |

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