Results 11 to 20 of about 13,406 (301)

On dual hyperbolic generalized Fibonacci numbers

Indian Journal of Pure and Applied Mathematics, 2019
In this paper, we introduce the generalized dual hyperbolic Fibonacci numbers. As special cases, we deal with dual hyperbolic Fibonacci and dual hyperbolic Lucas numbers. We present Binet's formulas, generating functions and the summation formulas for these numbers. Moreover, we give Catalan's, Cassini's, d'Ocagne's, Gelin-Cesàro's, Melham's
Yüksel Soykan
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Probabilities with Values in Scaled Hyperbolic Numbers

Advances in Applied Clifford Algebras
Abstract In this paper, we introduce a notion of a probabilistic measure which takes values in t-scaled hyperbolic numbers for $$t\in \mathbb {R}$$ t ∈ R
Daniel Alpay, Ilwoo Cho
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Space and space-time topologies in a type-II hyperbolic lattice [PDF]

Nature Communications
Recent 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, Zebin Zhu, Minqi Cheng, Linyun Yang, Yuxin Zhong, Zhen Gao   +5 more
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On Hyperbolic Generalized Woodall Numbers

Asian Journal of Advanced Research and Reports
In 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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Chromatic numbers of hyperbolic surfaces [PDF]

Indiana University Mathematics Journal, 2016
24 pages, 12 ...
Parlier Hugo, Petit Camille
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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, Orhan Dışkaya, Hamza Menken   +2 more
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Topological Bihyperbolic Modules

Communications in Advanced Mathematical Sciences, 2021
The aim of this article is introducing and researching hyperbolic modules, bihyperbolic modules, topological hyperbolic modules, and topological bihyperbolic modules.
Merve Bilgin, Soley Ersoy
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Quadratic dynamics over hyperbolic numbers: a brief survey [PDF]

Surveys in Mathematics and its Applications, 2022
Hyperbolic numbers, also called split complex or perplex numbers in the literature, are a variation of complex numbers established as a theory primarily by W. Clifford in the nineteenth century who applied them to mechanics.
Sandra Hayes
doaj  

Hyperbolic numbers as Einstein numbers

Journal of Physics: Conference Series, 2020
Abstract In the special theory of relativity (SR) it is usual to highlight so-called paradoxes. One of these paradoxes is the formal appearance of speed values grater then the light speed. In this paper we show that most of these paradoxes arise due to the incompleteness of relativistic calculus over velocities.
Kulyabov D.S., Korolkova A.V., Gevorkyan M.N.   +2 more
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