Introduction to Fibonacci and Lucas hybrinomials

The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the Fibonacci and Lucas hybrinomials, i.e. polynomials, which are a generalization of the Fibonacci hybrid numbers and the Lucas hybrid numbers, respectively.

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Bibliographic Details
Published in:Complex variables and elliptic equations 2020-10, Vol.65 (10), p.1736-1747
Main Authors: Szynal-Liana, Anetta, Włoch, Iwona
Format: Article
Language:English
Subjects:
complex numbers
dual numbers
Fibonacci numbers
hyperbolic numbers
Polynomials
recurrence relations
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Summary:The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the Fibonacci and Lucas hybrinomials, i.e. polynomials, which are a generalization of the Fibonacci hybrid numbers and the Lucas hybrid numbers, respectively.
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2019.1681416