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The authors thank the anonymous referee for her/his comments and remarks, which help us to improve the article. The first and second authors were partially supported by the grant MINECO, MTM2012-30719. The third author was supported by Banco Santander under grant Becas Iberoamerica, Jovenes Profesores e Investigadores - Santander Universidades. This work was prepared during the visit by the third author to the Universidad Politecnica de Madrid; he wishes to express his thanks for the support and kind hospitality of the Departamento de Matematica Aplicada.

Analysis of institutional authors

Luzon, AnaAuthor

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June 9, 2019
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Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities

Publicated to:Linear Algebra And Its Applications. 511 237-258 - 2016-12-15 511(), DOI: 10.1016/j.laa.2016.09.020

Authors: Luzon, Ana; Moron, Manuel A; Ramirez, Jose L

Affiliations

Inst Matemat Interdisciplinar, Madrid 28040, Spain - Author
Univ Complutense Madrid, Fac Matemat, Dept Geometria & Topol, E-28040 Madrid, Spain - Author
Univ Politecn Madrid, Dept Matemat Aplicada, ET Super Ingenieros Montes, E-28040 Madrid, Spain - Author
Univ Sergio Arboleda, Dept Matemat, Bogota, Colombia - Author

Abstract

We present some double-parameter recurrence relations for families of polynomials in bi-infinite Riordan matrices. From this point of view, we treat some Riordan families of generalized Fibonacci and Lucas polynomials. We use these to obtain some identities related mainly with binomial coefficients and Fibonacci numbers. (C) 2016 Elsevier Inc. All rights reserved.

Keywords

ArraysCoefficientsCombinatorial identitiesFibonacci sequenceGeneralized fibonacciLucas-numbersRecurrences relationsRiordan matrix

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Linear Algebra And Its Applications due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2016, it was in position 65/311, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 3.4, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Aug 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-08-14, the following number of citations:

  • WoS: 5
  • Scopus: 6

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-08-14:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Colombia.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (LUZON CORDERO, ANA MARIA) .