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 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2026-1-23 |
DOI: 10.29229/uzmj.2026-1-23 · Maqolaning asl sahifasi
Leonardo number, Gaussian Leonardo number, Pauli matrix, Pauli quaternion, Pauli Gaussian Leonardo quaternion
The paper considers a mixed problem for a quasilinear system of hyperbolic equations in Riemann invariants with dissipative nonlinear boundary conditions. To numerically solve the mixed problem, an initial-boundary…
In this work, we obtain explicit estimates for the accuracy of an approximation solution scheme for ODEs. The scheme is of the fourth order and based on the Taylor formula. Here we derive estimates with explicit…
In the article, high-accuracy difference schemes for the Cauchy problem for a system of fourth-order equations are obtained. Based on the method of energy inequalities, the stability of the scheme is proved, a priori…
This paper systematically establishes the fundamental geometrical and topological properties of the Minkowski operator on convex sets in an Euclidean space. The convexity, closedness, and boundary properties of the…
This article addresses the well-posedness of a coefficient inverse problem for the three-dimensional Tricomi equation in a parallelepiped. For this problem with nonlocal boundary conditions in anisotropic Sobolev…
It is studied inequalities between three elementary symmetric polynomials being trinomial generalization of the well-known Muirhead's inequality. Some sufficient conditions have been derived. A sufficient and necessary…
In this paper, we aim to study the Cauchy problem posed for a fractional order equation. General solution of the time-fractional equation is found by the Fourier method. The solution to the given problem is shown to be…
In this paper, we study a simple motion evasion differential game of multiple pursuers andone evader. The control functions of the players are subject to integral constraints, where the energies of theplayers change…
Let two bounded simply connected domains $D\subset {\mathbb C}_{z}$, $G\subset {\mathbb C}_{w}$, and two locally regular compact subsets $E\subset D,\, \, \, F\subset G$ be given. If $f(z,w)$ is a separately analytic…
In this article, a system of parabolic equations with nonlinear boundary conditionsis transformed into a system of self-similar (automodel) equations by applying a shapeshifting. Anasymptotics for a compact supporting…