Results 21 to 30 of about 2,685,895 (283)
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 +3 more
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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 +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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Cobalancing hybrid numbers [PDF]
Annales Universitatis Mariae Curie-Sklodowska, sectio A – MathematicaHybrid 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 ...
Rubajczyk, Mariola, Szynal-Liana, Anetta
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On generalized Mersenne hybrid numbers [PDF]
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 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 properties.
Szynal-Liana, Anetta, Włoch, Iwona
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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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The hybrid number of a ploidy profile [PDF]
Journal of Mathematical Biology, 2022 AbstractPolyploidization, whereby an organism inherits multiple copies of the genome of their parents, is an important evolutionary event that has been observed in plants and animals. One way to study such events is in terms of the ploidy number of the species that make up a dataset of interest.
K. T. Huber, L. J. Maher
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Similarity of Hybrid Numbers [PDF]
Mathematical Methods in the Applied Sciences, 2020 The set of hybrid numbers is a noncommutative number system unified and generalized the complex, dual and double(hyperbolic) numbers with the relation i h = − h i = ε +
İskender Öztürk, Mustafa Özdemir
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Multicomponent hybrid numbers: On algebraic properties and matrix representations of hybrid-hyperbolic numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2022 In this study, the hybrid-hyperbolic numbers are introduced. This number system is a more general form of the hybrid number system, which is an interesting number system, as well as a number system that includes multicomponent number systems (i.e., complex-hyperbolic, dual-hyperbolic and bihyperbolic numbers).
Yazici, Bahar Dogan +2 more
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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
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