Results 11 to 20 of about 3,036,123 (324)
On dual hyperbolic numbers with generalized Jacobsthal numbers components
Indian journal of pure and applied mathematics, 2022 In this paper, we introduce the generalized dual hyperbolic Jacobsthal numbers. As special cases, we deal with dual hyperbolic Jacobsthal and dual hyperbolic Jacobsthal-Lucas numbers.
Y. Soykan, Erkan Taşdemir, Inci Okumuş
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On scaled hyperbolic numbers induced by scaled hyperbolic rings [PDF]
, 2023 In this paper, we generalize the well-known hyperbolic numbers to certain numeric structures scaled by the real numbers. Under our scaling of $\mathbb{R}$, the usual hyperbolic numbers are understood to be our 1-scaled hyperbolic numbers. If a scale $t$ is not positive in $\mathbb{R}$, then our $t$-scaled hyperbolic numbers have similar numerical ...
Alpay, Daniel, Cho, Ilwoo
core +5 more sources
Representations of Clifford Algebras with Hyperbolic Numbers [PDF]
Advances in Applied Clifford Algebras, 2007 The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics. A few simple examples are presented, which point out that the hyperbolic numbers can close this gap.
S. Ulrych
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Properties of hyperbolic generalized Pell numbers
, 2020 In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers.
Y. Soykan, Melih Göcen
semanticscholar +2 more sources
Space and space-time topologies in a type-II hyperbolic lattice [PDF]
Nature CommunicationsRecent breakthroughs in hyperbolic lattices have expanded the study of topological phases of matter from Euclidean to non-Euclidean spaces. However, prior work has mostly focused on static spatial topological states at the single outer edge of type-I ...
Jingming Chen +5 more
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On Hyperbolic Generalized Woodall Numbers
Asian Journal of Advanced Research and ReportsIn this study, we introduce the generalized hyperbolic Woodall numbers. As special cases, we study with hyperbolic Woodall, hyperbolic modified Woodall, hyperbolic Cullen numbers and hyperbolic modified Cullen numbers. We present Binet’s formulas, generating functions and the summation formulas for these numbers.
Orhan Eren, Yuksel Soykan
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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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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 ...
Bahar Doğan Yazıcı, M. Tosun
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Сучасні інформаційні системи, 2022 The goal of the work. Development of methods for performing basic arithmetic operations with interval complex numbers, which are presented in hyperbolic form, their modulus and argument. Results.
Svitlana Gadetska +3 more
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On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions
Journal of New Theory, 2023 In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino +2 more
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