English

On Tribonacci and Tribonacci-Lucas Quaternion Polynomials

Rings and Algebras 2017-09-05 v1

Abstract

In this paper, we introduce the Tribonacci and Tribonacci-Lucas quaternion polynomials. We obtain the Binet formulas, generating functions and exponential generating functions of these quaternions. Moreover, we give some properties and identities for the Tribonacci and Tribonacci-Lucas quaternions.

Keywords

Cite

@article{arxiv.1709.00524,
  title  = {On Tribonacci and Tribonacci-Lucas Quaternion Polynomials},
  author = {Gamaliel Cerda-Morales},
  journal= {arXiv preprint arXiv:1709.00524},
  year   = {2017}
}

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Submitted to journal

R2 v1 2026-06-22T21:31:08.436Z