Results 31 to 40 of about 185 (126)

On Fibonacci Quaternions [PDF]

open access: yesAdvances in Applied Clifford Algebras, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Binomial transform of the bivariate Fibonacci quaternion polynomials and its properties [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
The primary aim of this work is to deal with binomial transforms of bivariate Fibonacci quaternion polynomial sequence. The binomial sequence of the bivariate Fibonacci quaternion polynomial is found, and then results are obtained for the recurrence ...
Faruk Kaplan, Arzu Özkoç Öztürk
doaj   +1 more source

New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
doaj   +1 more source

Generalized commutative quaternion polynomials of the Fibonacci type

open access: yes, 2023
Generalized commutative quaternions is a number system which generalizes elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers.
Iwona Włoch   +5 more
core   +1 more source

A note on hyperbolic (p,q)-Fibonacci quaternions [PDF]

open access: yes, 2020
In this paper, we introduce a new quaternion sequence called hyperbolic (p, q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, hyperbolic Jacobsthal ...
Yağmur, Tülay, Tülay YAĞMUR
core   +1 more source

On the Fibonacci quaternion sequence with quadruple-produce components

open access: yes, 2021
This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given.
Menken, Hamza, Diskaya, Orhan
core   +1 more source

Applications of some special number sequences and quaternion elements using Fibonacci and Lucas elements [PDF]

open access: yes, 2021
In this paper, we studied if some algebraic structures can be obtained by using Fibonacci and Lucas elements and we provided some new properties and relations of them. Moreover, we give a method to find new examples of quaternion split algebras.
ZAHARIA, Mariana-Geanina
core  

Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2009
A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
doaj  

A Triple‐Nanoparticle System for Controlled Graphene Nanosheet Stacking: Enabling K/Na‐Ion Battery Anodes with Ultra‐Fast Charging Exceeding Petroleum Vehicle Refueling

open access: yesAdvanced Science, EarlyView.
ABSTRACT Large‐ion (K, Na) battery systems mitigate uneven global lithium distribution, while their ability to attain recharge time shorter than refueling would remove the final barrier for secondary batteries to replace petroleum vehicles. However, their large‐ion chemistry makes ultra‐fast charging an even significant challenge.
Shukai Ding   +12 more
wiley   +1 more source

From anthelmintic to neuro‐oncology: A systematic review of mebendazole repurposing for brain tumour therapy

open access: yesBritish Journal of Clinical Pharmacology, EarlyView.
Abstract Aim Mebendazole (MBZ), a benzimidazole anthelmintic with established clinical use, has emerged as a repurposing candidate for primary brain tumours due to its multimodal anticancer actions and central nervous system penetrance. This systematic review synthesizes preclinical and clinical evidence evaluating MBZ's efficacy, mechanisms of action ...
Ciara B. Blum   +5 more
wiley   +1 more source

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