Results 21 to 30 of about 9,126,608 (179)

Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers

open access: yesAbstract and Applied Analysis, 2014
Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial.
Tingting Xu, Zhaolin Jiang, Ziwu Jiang
doaj   +1 more source

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

open access: yesDiscrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci   +2 more
doaj   +1 more source

On matrices with the pell, pell-lucas, k−pell and k−pell-lucas quaternions [PDF]

open access: yes, 2018
In this paper, for any positive real number k, we introduce the k−Pell and k−Pell-Lucas quaternions and we consider certain matrices whose entries are Pell, PellLucas, k−Pell and k−Pell-Lucas quaternions.
Vasco, Paulo, Catarino, Paula
core   +1 more source

Diophantine equations for additive Pell numbers in Pell, Pell–Lucas, and Modified Pell numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper investigates the Diophantine equations arising from ternary additive problems of Pell, Pell-Lucas, and Modified Pell numbers. Specifically, we characterize all integer solutions to the equation Pₙ+Pₘ+Pᵣ=Xₖ, X∈{P,Q,R}, where Pᵢ, Qᵢ, and Rᵢ ...
Ahmet Emin, Ahmet Daşdemir
doaj   +1 more source

Vieta-Pell and Vieta-Pell-Lucas polynomials [PDF]

open access: yes, 2013
In the present paper, we introduce the recurrence relation of Vieta-Pell and Vieta-Pell-Lucas polynomials. We obtain the Binet form and generating functions of Vieta-Pell and Vieta-Pell-Lucas polynomials and define their associated sequences.
Dursun Tasci   +3 more
core   +1 more source

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +1 more source

Non-Fisherian generalized Fibonacci numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +1 more source

GENELLEŞTİRİLMİŞ LUCAS, PELL-LUCAS SAYILARI VE GENELLEŞTİRİLMİŞ LUCAS, PELL-LUCAS POLİNOMLARI ÜZERİNE

open access: yes, 2022
Bu çalışmada Fibonacci Sayıları, Pell Sayıları, Pell-Lucas Sayıları esas alınarak Genelleştirilmiş Lucas ve Genelleştirilmiş Pell-Lucas şeklindeki yeni sayı dizileri tanımlanmıştır.
Zişan KUŞAKSIZ TAŞ
core  

Dual-Gaussian Pell and Pell-Lucas numbers

open access: yesCumhuriyet Science Journal, 2022
In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell and Pell-Lucas numbers.
openaire   +2 more sources

From the predator to the prey: a case study of the vulnerability of Harmonia axyridis to aggressive competitors

open access: yesInsect Science, EarlyView.
The level of aggressiveness of an individual is a factor that shapes intraguild predation (IGP) interactions. In Nabis americoferus, high aggressiveness leads to an increase in attack rate and IGP against Harmonia axyridis. Moreover, the absence of extraguild prey seems to exacerbate IGP. In docile N.
Pierre Royer   +3 more
wiley   +1 more source

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