Unrestricted Tribonacci and Tribonacci–Lucas quaternions

We define a generalization of Tribonacci and Tribonacci–Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci–Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions. Furthermore, several sum formulas and a matrix representat...

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Bibliographic Details
Published in:Notes on Number Theory and Discrete Mathematics
Main Authors: Gonca Kızılaslan, Leyla Karabulut
Format: Article
Language:English
Published: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2023-05-01
Subjects:
Online Access:https://nntdm.net/papers/nntdm-29/NNTDM-29-2-310-321.pdf