Results 11 to 20 of about 2,685,895 (283)

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Universal Journal of Mathematics and Applications, 2023
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
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On Special Spacelike Hybrid Numbers [PDF]

Mathematics, 2020
Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. A hyperbolic complex structure is frequently used in both pure mathematics and numerous areas of physics.
Anetta Szynal-Liana, Iwona Włoch
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A Note on Generalized Hybrid Tribonacci Numbers [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers.
Yaǧmur Tülay
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The Horadam Hybrid Numbers [PDF]

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
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A Note on Hybrid Numbers with Generalized Hybrid k-Pell Numbers as Coefficients [PDF]

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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Introduction to k- Horadam hybrid numbers [PDF]

Kuwait Journal of Science, 2022
In this paper, we consider the k-Horadam hybrid numbers and investigate some of their properties. We also give some applications related to the k-Horadam hybrid numbers in matrices.
Nayil Kilic
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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
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Generalized Tetranacci Hybrid Numbers [PDF]

Annales Mathematicae Silesianae, 2020
Abstract 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 numbers.
Soykan, Yüksel, Taşdemir, Erkan
core   +7 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
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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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