O‘zbekiston matematika jurnali Volume 70 Issue 1 (2026)

Pauli Gaussian Leonardo quaternions

Yağmur, T.

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Abstract

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.

Leonardo numberGaussian Leonardo numberPauli matrixPauli quaternionPauli Gaussian Leonardo quaternion

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Cite

APA 7 
Yağmur, T. (2026). Pauli Gaussian Leonardo quaternions. O‘zbekiston matematika jurnali, 70(1).
GOST R 7.0.5 
Yağmur, T. Pauli Gaussian Leonardo quaternions // O‘zbekiston matematika jurnali. 2026. Т. 70. № 1.
BibTeX 
@article{t.2026,
  author  = {Yağmur, T.},
  title   = {Pauli Gaussian Leonardo quaternions},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {1}
}
RIS 
TY  - JOUR
AU  - Yağmur, T.
TI  - Pauli Gaussian Leonardo quaternions
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 1
ER  -