Results 11 to 20 of about 2,820,944 (150)

The Hybrid Numbers of Padovan and Some Identities [PDF]

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
doaj   +2 more sources

On a New Generalization of Pell Hybrid Numbers [PDF]

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
doaj   +2 more sources

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
doaj   +1 more source

GENERALIZED TETRANACCI HYBRID NUMBERS [PDF]

, 2020
In this paper, we introduce the generalized Tetranacci hybrid numbers and, as special cases, Tetranacci and Tetranacci-Lucas hybrid numbers. Moreover, we present Binet's formulas, generating functions, and the summation formulas for those hybrid ...
Soykan, Yüksel, Taşdemir, Erkan
core   +2 more sources

Padovan and Perrin Hybrid Number Identities

Communications in Advanced Mathematical Sciences, 2021
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 sequences. Thus, it was possible to display the negative index hybrids, define
Renata Vieira, Milena Mangueira, Francisco Regis Alves, Paula Maria Machado Cruz Catarino   +3 more
doaj   +1 more source

A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields

Mathematics, 2023
In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers.
Elif Tan, Diana Savin, Semih Yılmaz
doaj   +1 more source

Hybrid Leonardo numbers [PDF]

, 2021
Until today, many researchers have studied related to hybrid numbers which are a generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo numbers, we introduce the hybrid Leonardo numbers.
Kocer, E. Gokcen, Alp, Yasemin
core   +1 more source

Generalized Hybrid Fibonacci and Lucas p-numbers [PDF]

, 2022
The hybrid numbers are a generalization of complex, hyperbolic and dual numbers. Until this time, many researchers have studied related to hybrid numbers.
Kocer, E. Gokcen, Alsan, Huriye
core   +1 more source

Hybrid Quaternions of Leonardo

Trends 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, F. R. V. Alves, P. M. M. C. Catarino   +2 more
doaj   +1 more source

On generalized Mersenne hybrid numbers [PDF]

, 2020
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider  a special kind of hybrid numbers, namely the Mersenne hybrid numbers and we give some of their ...
Szynal-Liana, Anetta, Włoch, Iwona, Iwona Włoch, Anetta Szynal-Liana   +3 more
core   +2 more sources