Results 31 to 40 of about 9,774,386 (178)

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

Aperiodic Diffractive Lenses Based on Lucas and Pell–Lucas Sequences for Controlled Multifocal Optical Fields [PDF]

open access: yesEPJ Web of Conferences
. In this work, two families of sequence-based diffractive lenses are presented and comparatively analyzed: Lucas diffractive lenses and Pell– Lucas diffractive lenses.
Furlan Walter D.   +4 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

Penerapan metode snake oil pada bilangan fibonacci, K-Fibonacci, Pell, K-Lucas, Lucas, dan K-Lucas, untuk membuktikan identitas kombinatorial [PDF]

open access: yes, 2016
INDONESIA: Pada skripsi ini, akan ditunjukkan metode snake oil dapat diterapkan pada bilangan Fibonacci, k-Fibonacci, Pell, k-Pell, Lucas, dan k-Lucas untuk membuktikan identitas kombinatorial. Diketahui, barisan Fibonacci, k-Fibonacci, Pell.
Albaihaqi, Abdul Hafidz
core   +1 more source

Genelleştirilmiş r-Pell ve r-Pell lucas dizileri [PDF]

open access: yes, 2023
Pell ve Pell-Lucas dizileri tamsayı dizileri arasında iyi bilinen iki dizidir. Literatürde bu iki dizinin genelleştirmeleri üzerine yürütülmüş birçok çalışma bulunmaktadır. Bunlardan biri Brod (2019) tarafından tanımlanan r–Pell sayılarıdır.
Çetin, Burhan
core  

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

k-Pell, k-Pell–Lucas and modified k-Pell sedenions [PDF]

open access: yes, 2019
The aim of this work is to present the k-Pell, the k-Pell–Lucas and the Modified k-Pell sedenions and we give some properties involving these sequences, including the Binet-style formulae and the ordinary generating ...
Catarino, Paula
core   +3 more sources

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

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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