Results 11 to 20 of about 1,048,118 (304)

On Hybrid Numbers with Gaussian Leonardo Coefficients [PDF]

open access: goldMathematics, 2023
We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid
Nagihan Kara, Fatih Yilmaz
doaj   +2 more sources

Oresme Hybrid Numbers and Hybrationals [PDF]

open access: diamondKragujevac Journal of Mathematics
In this paper we introduce and study Oresme hybrid numbers and hybrationals based on the known Oresme sequence. The main aim is to present these new concepts and to give some properties of Oresme hybrid numbers.
Anetta Szynal‐Liana, Iwona Włoch
openalex   +2 more sources

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers [PDF]

open access: yesAnnales Mathematicae Silesianae, 2019
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
doaj   +2 more sources

A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients

open access: yesCommunications in Advanced Mathematical Sciences
In this study, we define a new generalization of the hybrid $k$-Pell sequence consisting of hybrid numbers with generalized hybrid $k$-Pell numbers as coefficients.
Elen Viviani Pereira Spreafico   +2 more
doaj   +2 more sources

Cobalancing hybrid numbers

open access: diamondAnnales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
Hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we define and study hybrid numbers with cobalancing and Lucas-cobalancing coefficients. We derive some fundamental identities for these numbers, among others the Binet formulas and the general bilinear index-reduction formulas which imply the Catalan, Cassini ...
Mariola Rubajczyk, Anetta Szynal‐Liana
openalex   +3 more sources

(HYBRID) BARYONS: QUANTUM NUMBERS AND ADIABATIC POTENTIALS [PDF]

open access: green, 2000
We construct (hybrid) baryons in the flux-tube model of Isgur and Paton. In the limit of adiabatic quark motion, we build proper eigenstates of orbital angular momentum and indicate the flavour, spin, chirality and J^P of (hybrid) baryons. The adiabatic potential is calculated as a function of the quark positions.
Philip R. Page
openalex   +4 more sources

De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers

open access: yesAxioms, 2021
It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists.
Mücahit Akbıyık   +3 more
doaj   +1 more source

Hyperbolic Horadam hybrid functions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
The aim of this paper is to introduce the hybrid form of the hyperbolic Horadam function and to investigate some of its properties such as the generating function.
Efruz Özlem Mersin
doaj   +1 more source

Hybrid Quaternions of Leonardo

open access: yesTrends in Computational and Applied Mathematics, 2022
In this article, we intend to investigate the Leonardo sequence presenting the hybrid Leonardo quaternions. To explore Hybrid Quaternions of Leonardo, the priori, sequence of Leonardo, quaternions and hybrid numbers were presented.
M. C. S. Mangueira   +2 more
doaj   +1 more source

On Leonardo Pisano Hybrinomials

open access: yesMathematics, 2021
A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials.
Ferhat Kürüz   +2 more
doaj   +1 more source

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