Results 21 to 30 of about 1,171 (108)

Generalized Identities Involving Common Factors of Generalized Fibonacci, Jacobsthal and Jacobsthal-Lucas Numbers

open access: yesInternational Journal of Analysis and Applications, 2013
In this paper, we present generalized identities involving common factors of generalized Fibonacci, Jacobsthal and jacobsthal-Lucas numbers. Binet’s formula will employ to obtain the identities.
Yashwant K. Panwar   +2 more
doaj   +2 more sources

Tribonacci and Tribonacci-Lucas Sedenions

open access: yes, 2018
The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
core   +1 more source

Gaussian Generalized Tetranacci Numbers

open access: yes, 2019
In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their ...
Soykan, Yüksel
core   +1 more source

Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

open access: yes, 2014
In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend
Qi, Feng
core   +1 more source

Climate Warming Amplifies the Contribution of High‐Altitude Cold Regions to Global Carbonate Weathering Carbon Sink

open access: yesEarth's Future, Volume 14, Issue 4, April 2026.
Abstract Carbonate weathering carbon‐sink (CWCS) is a critical yet inaccurately quantified component of terrestrial carbon sequestration. However, the mechanisms through which climate change and vegetation dynamics drive the spatial heterogeneity of CWCS remain unclear.
Junhan Li   +10 more
wiley   +1 more source

The Hybrid Numbers of Padovan and Some Identities

open access: yesAnnales Mathematicae Silesianae, 2020
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos   +3 more
doaj   +1 more source

On Third-Order Bronze Fibonacci Numbers

open access: yesMathematics, 2021
In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then,
Mücahit Akbiyik, Jeta Alo
doaj   +1 more source

On perfect powers that are sums of two Fibonacci numbers

open access: yes, 2017
We study the equation $F_n + F_m = y^p$, where $F_n$ and $F_m$ are respectively the $n$-th and $m$-th Fibonacci numbers and $p \ge 2$.
Luca, Florian, Patel, Vandita
core   +1 more source

Beyond the Pulmonary Functions: Altered Cognitive–Motor Performance and Motor Imagery in Children With Bronchiectasis

open access: yesPediatric Pulmonology, Volume 61, Issue 3, March 2026.
ABSTRACT Background Bronchiectasis (BE) is a chronic obstructive pulmonary disease characterized by bronchial dilatation and structural damage due to persistent inflammation and infections. While pulmonary impairments in BE are extensively documented, cognitive‐motor functions and motor imagery in children with BE remain understudied.
Aysenur Temizel Tombul   +4 more
wiley   +1 more source

GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

open access: yesJournal of Amasya University the Institute of Sciences and Technology, 2020
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari   +2 more
doaj  

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