Articles with "lucas polynomials" as a keyword



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Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

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Published in 2019 at "Communications in Algebra"

DOI: 10.1080/00927872.2019.1576186

Abstract: Abstract In this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials. Then the Lucas polynomials and their relationship are generalized in the… read more here.

Keywords: lucas polynomials; polynomials relationships; relationships fibonacci; generalized lucas ... See more keywords
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On the Lucas polynomials and some of their new identities

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Published in 2018 at "Advances in Difference Equations"

DOI: 10.1186/s13662-018-1527-9

Abstract: The main purpose of this paper is, using the elementary and combination methods, to study the arithmetical properties of the Lucas polynomials and to obtain some new and interesting identities for them. read more here.

Keywords: lucas polynomials; new identities; polynomials new;