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Title:
A study on Fibonacci and Lucas bihypernomials
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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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