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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Vydáno v:Discussiones mathematicae. General algebra and applications Ročník 42; číslo 2; s. 409 - 423
Hlavní autoři: Szynal-Liana, Anetta, Włoch, Iwona
Médium: Journal Article
Jazyk:angličtina
Vydáno: Sciendo 01.10.2022
University of Zielona Góra
Témata:
11B37
11B39
bihyperbolic numbers
Fibonacci numbers
hyperbolic numbers
polynomials
recurrence relations
ISSN:1509-9415, 2084-0373
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Popis
Shrnutí: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