Pauli-Leonardo quaternions

Z Isbilir, M Akyigit, M Tosun - 2023 - acikerisim.sakarya.edu.tr
With the advent of wearable/portable electronics and hybrid electric vehicles,
supercapacitors have gained much interest owing to their high-power density. This work …

Padovan and Perrin generalized quaternions

Z İşbilir, N Gürses - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
In this study, we investigate the Padovan (or Cordonnier) and Perrin generalized
quaternions. We obtain the new identities for these special quaternions related to matrix …

Perrin n-dimensional relations

R Vieira, M Mangueira, FR Alves… - Fundamental Journal of …, 2021 - dergipark.org.tr
This work aims, to perform a complexity in the Perrin sequence, to present the two-
dimensional, three-dimensional, and n-dimensional recurrence relations of this sequence …

[PDF][PDF] Padovan and Perrin hyperbolic spinors

Z ISBILIR, I Arda Kösal, M Tosun - researchgate.net
In this study, we determine and examine the Padovan and Perrin hyperbolic spinors. Also,
we give Binet formulas, generating functions, exponential generating functions, and …

Examination of generalized Tribonacci dual quaternions

Z İŞBİLİR, N Gürses - Acta et Commentationes Universitatis Tartuensis …, 2023 - ojs.utlib.ee
This manuscript deals with introducing and discussing of a new type dual quaternions which
are named generalized Tribonacci dual quaternions (GTDQ, for short). For this purpose …

[PDF][PDF] Perrin's bivariate and complex polynomials

RPM Vieira, MC dos Santos Mangueira… - Notes on Number …, 2021 - academia.edu
In this article, a study is carried out around the Perrin sequence, these numbers marked by
their applicability and similarity with Padovan's numbers. With that, we will present the …

Padovan and Perrin Hybrid Number Identities

R Vieira, M Mangueira, FR Alves… - Communications in …, 2021 - dergipark.org.tr
This work investigates the numbers of Padovan and Perrin hybrids. At first, the hybrid
numbers, the sequences in the hybrid form, and their matrix forms are ordered as studied …

Padovan, Perrin and Pell-Padovan Dual Quaternions

Z İşbilir, N Gürses - Turkish Journal of Mathematics and Computer …, 2023 - dergipark.org.tr
In this present study, we intend to determine the Padovan, Perrin and Pell-Padovan dual
quaternions with nonnegative and negative subscripts. In line with this purpose, we …

Application of the BenTaher-Rachidi method in numerical sequences

R Vieira, M Mangueira, FR Alves… - Boletim da Sociedade …, 2022 - revistas.rcaap.pt
Este artigo apresenta a aplicação do estudo sobre o método de BenTaher-Rachidi para a
resolução de sequências numéricas lineares e recorrentes de ordem superior. Assim …

THE SEQUENCE OF THE HYPERBOLIC k-PERRIN AND k-LEONARDO QUATERNIONS

MC dos Santos Mangueira, RPM VIEIRA… - Journal of Mathematical …, 2023 - ijmex.com
In this article, hyperbolic k-Perrin and k-Leonardo quaternions are defined. In this sense,
bulletin, are evaluated as sequences of k-Perrin and k-Leornado, their respective …