A Study on Fibonacci and Lucas Bihypernomials

The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the bihyperbolic Lucas numbers, respectively.

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Bibliographic Details
Published in:Discussiones mathematicae. General algebra and applications Vol. 42; no. 2; pp. 409 - 423
Main Authors: Szynal-Liana, Anetta, Włoch, Iwona
Format: Journal Article
Language:English
Published: Sciendo 01.10.2022
University of Zielona Góra
Subjects:
11B37
11B39
bihyperbolic numbers
Fibonacci numbers
hyperbolic numbers
polynomials
recurrence relations
ISSN:1509-9415, 2084-0373
Online Access:Get full text
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Summary:The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the bihyperbolic Lucas numbers, respectively.
ISSN:1509-9415
2084-0373
DOI:10.7151/dmgaa.1399