In this paper, a new family of Pauli quaternions whose components are the Gaussian Leonardo numbers is defined. These new Pauli quaternions are called Pauli Gaussian Leonardo quaternions. Furthermore, several properties of Pauli Gaussian Leonardo quaternions, including relations with the Pauli Gaussian Fibonacci and Pauli Gaussian Lucas quaternions are investigated. In addition, Binet-like formula, (ordinary) generating function, exponential generating function, and some summation formulas for these Pauli quaternions are given. Moreover, some results are illustrated with examples.
| Mualliflar | Yağmur, T. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-1-23 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-23 · Maqolaning asl sahifasi
Leonardo number, Gaussian Leonardo number, Pauli matrix, Pauli quaternion, Pauli Gaussian Leonardo quaternion
| APA | Yağmur, T. (2026). Pauli Gaussian Leonardo quaternions. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-23 |
|---|---|
| GOST (OAK) | Yağmur, T. Pauli Gaussian Leonardo quaternions // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-23. |
| MLA | Yağmur, T. “Pauli Gaussian Leonardo quaternions.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-23 |
| Chicago | Yağmur, T. “Pauli Gaussian Leonardo quaternions.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-23 |
| Harvard | Yağmur, T (2026) ‘Pauli Gaussian Leonardo quaternions’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-23 |
| BibTeX | @article{yamurt2026,
title = {Pauli Gaussian Leonardo quaternions},
author = {Yağmur, T.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-23},
url = {https://doi.org/10.29229/uzmj.2026-1-23}
} |
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