Results 21 to 30 of about 1,018,693 (306)

MATRICES OF HYBRID NUMBERS

Journal of Universal Mathematics, 2023
In this study, we investigate the matrices over the new extension of the real numbers in four dimensional space E2^4 called the hybrid numbers. Since the hybrid multiplication is noncommutative, this leads to finding a linear transformation on the complex field.
Çağla Ramis, Yasin Yazlık
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On Hybrid Numbers with Gaussian Leonardo Coefficients

Mathematics, 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

The Hybrid Numbers of Padovan and Some Identities

Annales Mathematicae Silesianae, 2020
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos, Vieira Renata Passos Machado, Alves Francisco Régis Vieira, Catarino Paula Maria Machado Cruz   +3 more
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers [PDF]

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

Communications 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, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
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Hybrid numbers with the view of multiplicative calculus

Kuwait Journal of Science
This paper defines a new number system called multiplicative hybrid numbers. A multiplicative hybrid number is one that satisfies the non-commutative multiplication criteria using any combination of multiplicative complex (𝑖 2⋆ ⋆ = −⋆1⋆ ), multiplicative
Umut Selvi, Derya Sağlam, Emel Karaca
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On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
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Hybrid hyper-Fibonacci and hyper-Lucas numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Different number systems have been studied lately. Recently, many researchers have considered the hybrid numbers which are generalization of the complex, hyperbolic and dual number systems.
Yasemin Alp
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Hyperbolic Horadam hybrid functions [PDF]

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

Axioms, 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, Seda Yamaç Akbıyık, Emel Karaca, Fatih Yılmaz   +3 more
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