Results 71 to 80 of about 1,971,660 (140)

$k$-Pell-Lucas numbers as Product of Two Repdigits

open access: yes, 2022
15 ...
Tripathy, Bibhu Prasad   +1 more
openaire   +2 more sources

Effect of Bacille Calmette–Guérin vaccination on immune responses to SARS‐CoV‐2 and COVID‐19 vaccination

open access: yesClinical &Translational Immunology, Volume 14, Issue 1, 2025.
Bacille Calmette–Guérin (BCG), the vaccine for tuberculosis, has immunomodulatory effects that may underpin its off‐target effects on infectious disease risk and vaccine responses. This study used blood samples taken before and 28 days after COVID‐19 vaccinations (2‐dose primary course), from healthcare workers randomised to receive BCG vaccine or no ...
Nicole L Messina   +594 more
wiley   +1 more source

On the (s,t)-Pell and (s,t)-Pell-Lucas numbers by matrix methods [PDF]

open access: yes
In this paper, we investigate some generalization of Pell and Pell-Lucas numbers, which is called (s, t)-Pell and (s, t)-Pell-Lucas numbers, and we define the 2 × 2 matrix W, which satisfy the relation W = 2sW+ tI.
Srisawat, Somnuk, Sriprad, Wanna
core  

Equations with arithmetic functions of Pell numbers [PDF]

open access: yes, 2014
Here, we prove some diophantine results about the Euler function of Pell numbers and their Pell-Lucas companion sequence. For example, if the Euler function of the nth Pell number Pn or Pell- Lucas companion number Qn is a power of 2, then n is greater ...
Luca, Florian, Stănică, Pantelimon
core   +2 more sources

On hyper-dual vectors and angles with Pell, Pell-Lucas numbers [PDF]

open access: yes
In this paper, we introduce two types of hyper-dual numbers with components including Pell and Pell-Lucas numbers. This novel approach facilitates our understanding of hyper-dual numbers and properties of Pell and Pell-Lucas numbers.
Atasoy, Ali, Babadağ, Faik
core   +1 more source

Pell and Pell–Lucas Sequences of Fractional Order

open access: yesFractal and Fractional
The purpose of this paper is to introduce the fractional Pell numbers, together with several properties, via a Grünwald–Letnikov fractional operator of orders q∈(0,1) and q∈(1,2).
Jagan Mohan Jonnalagadda   +1 more
doaj   +1 more source

Convolutions of the generalized Pell and Pell-Lucas numbers

open access: yesFilomat, 2016
We consider the convolution of the generalized Pell numbers-P(s) n,m and the convolution of the generalized Pell-Lucas numbers-Q(s) n,m. For s = 0, the sequence P(0) n,m represents the generalized Pell numbers Pn;m, and the sequence Q(0) n,m represents the generalized Pell-Lucas numbers Qn,m ([1], [2]). For m = 2 and s = 0, the numbers P(0)
openaire   +1 more source

Gaussian Pell and Gaussian Pell-Lucas Quaternions

open access: yes, 2021
The main aim of this work is to introduce the Gaussian Pell quaternion QGp(n) and Gaussian Pell-Lucas quaternion OGq(n), where the components of QGp(n) and QGq(n) are Pell numbers p(n) and Pell-Lucas numbers q(n), respectively.
ARSLAN, HASAN, Hasan Arslan
core   +1 more source

Pell and Pell-Lucas numbers as sums of three repdigits

open access: yes, 2020
Same work has been study by another ...
Bhoi, Kisan   +2 more
openaire   +2 more sources

On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers

open access: yesMathematica Pannonica
Let (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in base 𝑏, have only finitely many solutions in nonnegative integers (𝑚, 𝑛, 𝑘, 𝑏, 𝑑).
Adédji, Kouéssi Norbert   +1 more
openaire   +3 more sources

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