A note on modified third-order Jacobsthal quaternions and their properties

Authors

DOI:

https://doi.org/10.12697/ACUTM.2024.28.13

Keywords:

Modified third-order Jacobsthal number, recurrence relation, third-order Jacobsthal number, quaternion

Abstract

Modified third-order Jacobsthal quaternion sequence is defined in this study. Some properties involving this sequence, including the Binet-style formula and the generating function are presented.

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Author Biography

Gamaliel Morales, Pontificia Universidad Catolica de Valparaiso

Instituto de Matemáticas

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Published

2024-11-28

Issue

Vol. 28 No. 2 (2024)

Section

Articles