Results 51 to 60 of about 11,503 (148)

Topological linear response of hyperbolic Chern insulators

SciPost Physics
We establish a connection between the electromagnetic Hall response and band topological invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless-Kohmoto-Nightingale-den Nijs (TKNN) formula.
Canon Sun, Anffany Chen, Tomáš Bzdušek, Joseph Maciejko
doaj   +1 more source

Dual Hyperbolic Generalized Adrien Numbers

Asian Research Journal of Mathematics
This study introduces the generalized dual hyperbolic Adrien numbers, a novel extension of the classic Adrien framework, enriched by dual and hyperbolic algebraic structures. These sequences are constructed within a fourth-order linear recurrence system, offering intricate mathematical behavior and promising structural versatility. Special attention is
Feyza Demirci, Yüksel Soykan
openaire   +1 more source

On a New Generalization of Pell Hybrid Numbers

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
doaj   +1 more source

Some new properties of hyperbolic k-Fibonacci and k-Lucas octonions [PDF]

Notes on Number Theory and Discrete Mathematics
The aim of this paper is to establish some novel identities for hyperbolic k-Fibonacci octonions and k-Lucas octonions. We prove these properties using the identities of k-Fibonacci and k-Lucas numbers, which we determined previously.
A. D. Godase
doaj   +1 more source

Transformation of Trigonometric Functions into Hyperbolic Functions Based on Cable Statics

Applied Sciences
Trigonometric functions are widely used to express relationships between the sides and angles of triangles, being fundamental in a wide variety of fields in science and engineering.
Julian Garcia-Guarin
doaj   +1 more source

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   +2 more sources

Stagnation point flow of hyperbolic tangent fluid with Soret-Dufour effects

Results in Physics, 2017
Combined effects of Soret (thermal-diffusion) and Dufour (diffusion-thermo) in MHD stagnation point flow of tangent hyperbolic fluid by a stretching sheet are discussed in the present article.
Tasawar Hayat, Muhammad Ijaz Khan, Muhammad Waqas, Ahmed Alsaedi   +3 more
doaj   +1 more source

Quadratic Dynamics Over Hyperbolic Numbers

, 2020
Hyperbolic numbers are a variation of complex numbers, but their dynamics is quite different. The hyperbolic Mandelbrot set for quadratic functions over hyperbolic numbers is simply a filled square, and the filled Julia set for hyperbolic parameters inside the hyperbolic Mandelbrot set is a filled rectangle.
openaire   +2 more sources

Relativistic quantum physics with hyperbolic numbers [PDF]

Physics Letters B, 2005
17 pages ...
openaire   +3 more sources

Topology of Hořava–Lifshitz black holes in different ensembles

European Physical Journal C: Particles and Fields
In this paper, we study topological numbers for uncharged and charged static black holes obtained in $$z=3$$ z = 3 Hořava–Lifshitz gravity theory in different ensembles, where z measures the degree of anisotropy between space and time. We first calculate
Deyou Chen, Yucheng He, Jun Tao, Wei Yang   +3 more
doaj   +1 more source