DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score: 0.4

SJR: 0.203

SNIP: 0.562

MCQ: 0.12

Index Copernicus: 121.02

Discussiones Mathematicae - General Algebra and Applications

Article in volume


Authors:

A. Szynal-Liana

Anetta Szynal-Liana

Rzeszow University of Technology
Faculty of Mathematics and Applied Physics
al. Powstańców Warszawy 12, 35–959 Rzeszów, Poland

email: aszynal@prz.edu.pl

0000-0001-5508-0640

I. Włoch

Iwona Włoch

Rzeszow University of Technology
Faculty of Mathematics and Applied Physics
al. Powstańców Warszawy 12, 35–959 Rzeszów, Poland

email: iwloch@prz.edu.pl

Title:

A study on Fibonacci and Lucas bihypernomials

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Source:

Discussiones Mathematicae - General Algebra and Applications 42(2) (2022) 409-423

Received: 2021-03-09 , Revised: 2021-05-06 , Accepted: 2022-06-29 , Available online: 2022-10-05 , https://doi.org/10.7151/dmgaa.1399

Abstract:

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.

Keywords:

Fibonacci numbers, recurrence relations, hyperbolic numbers, bihyperbolic numbers, polynomials

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