Results 11 to 20 of about 1,349,495 (300)

A Study On Dual Hyperbolic Fibonacci And Lucas Numbers [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Tosun, Murat, Güngör, Mehmet Ali, Azak, Ayşe Zeynep, Arzu Cihan, Sakarya Üniversitesi/Eğitim Fakültesi/Matematik Ve Fen Bilimleri Eğitimi Bölümü, Azak Ayşe Zeynep, Güngör Mehmet Ali, Cihan Arzu, Tosun Murat, Murat Tosun, Ayşe Zeynep Azak, Mehmet Ali Güngör   +11 more
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One-parameter generalization of dual-hyperbolic Jacobsthal numbers [PDF]

Annales Mathematicae Silesianae, 2023
In this paper, we introduce one-parameter generalization of dualhyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona   +2 more
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Implementation of hyperbolic complex numbers in Julia language

Discrete and Continuous Models and Applied Computational Science, 2022
Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-known examples of such spaces is the Minkowski space, which plays a leading role in the problems of the special theory of relativity and electrodynamics. However,
Kulyabov Dmitry S., Korolkova Anna V., Gevorkyan Migran N., Gevorkyan, Migran N., Korolkova, Anna V., Kulyabov, Dmitry S., Anna V. Korolkova, Dmitry S. Kulyabov, Migran N. Gevorkyan   +8 more
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Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers

Fractal and Fractional, 2019
Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers.
Vance Blankers, Tristan Rendfrey, Patrick D. Shipman, Aaron Shukert, Patrick D. Shipman   +4 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
openaire   +3 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
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Performance of basic arithmetic actions with complex numbers, which are presented in interval hyperbolic form

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, Valeriy Dubnitskiy, Yuriy Kushneruk, Alexander Khodyrev   +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, 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
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