Results 41 to 50 of about 13,449 (301)

A Note on Generalized Hybrid Tribonacci Numbers

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers.
Yaǧmur Tülay
doaj   +1 more source

An analogue of Bauer’s theorem for closed orbits of skew products [PDF]

open access: yes, 2008
In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic ...
Mark Pollicott   +3 more
core   +1 more source

On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

open access: yesAnnales 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
doaj   +1 more source

Matrices with Hyperbolic Number Entries

open access: yesTurkish Journal of Mathematics and Computer Science, 2022
In this study, firstly, we will present some properties of hyperbolic numbers. Then, we will introduce hyperbolic matrices, which are matrices with hyperbolic number entries. Additionally, we will examine the algebraic properties of these matrices and reveal its difference from other matrix structures such as real, dual, and complex matrices.
Ferhat KURUZ, Ali DAĞDEVİREN
openaire   +2 more sources

Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications

open access: yesApplied Mathematics in Science and Engineering, 2023
The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE

open access: yesUral Mathematical Journal, 2023
In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
doaj   +1 more source

A combined approach to Perrin and Padovan hybrid sequences

open access: yesHeliyon, 2021
Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi   +3 more
doaj   +1 more source

De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers

open access: yesAxioms, 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
doaj   +1 more source

Representations of Clifford Algebras with Hyperbolic Numbers [PDF]

open access: yesAdvances 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.
openaire   +2 more sources

Comparative Evaluation of Hemodiafiltration, Hemoperfusion, and Standard Hemodialysis on Efficacy, Inflammatory Control, Dialysis Adequacy, and Safety in End‐Stage Renal Disease: A Prospective Observational Study

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo   +5 more
wiley   +1 more source

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