Results 11 to 20 of about 66,564 (179)

Pell and Pell–Lucas Numbers as Sums of Two Repdigits

Bulletin of the Malaysian Mathematical Sciences Society, 2019
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Chèfiath Adegbindin, Florian Luca, Alain Togbé   +2 more
semanticscholar   +5 more sources

Gaussian-Hybrid Numbers Obtained From Pell and Pell-Lucas Sequences

Journal of Advances in Mathematics and Computer Science, 2022
In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-hybrid Pell and Pell-Lucas numbers. We also give negaGaussian-hybrid Pell and Pell-Lucas numbers, the characteristic number and the type number of Gaussian-hybrid Pell and Pell-Lucas numbers.
Hasan Gökbaş
openaire   +2 more sources

On the Domain of the Pell-Lucas Matrix in the Spaces c and c_0

Dera Natung Government College Research Journal
In this study, we introduce new Banach sequence spaces $c(\Theta), c_0(\Theta)$, defined via a regular infinite matrix $ \Theta = (\lambda_{nk})$, where \[ \Theta_{nk} = \begin{cases} \dfrac{2\lambda_k}{3\lambda_n+\lambda_{n-1}} & 0 \leq k \leq n ...
Shiva Shah
doaj   +2 more sources

Numerical solutions and simulations of the fractional COVID‐19 model via Pell–Lucas collocation algorithm

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14457-14475, December 2024.
The aim of this study is to present the evolution of COVID‐19 pandemic in Turkey. For this, the SIR (Susceptible, Infected, Removed) model with the fractional order derivative is employed. By applying the collocation method via the Pell–Lucas polynomials
Gamze Yıldırım, Ş. Yüzbaşı
semanticscholar   +2 more sources

Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

Mathematics, 2022
Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
openaire   +4 more sources

Horadam–Lucas Cubes

Axioms
In this paper, we introduce a novel class of graphs referred to as the Horadam–Lucas cubes. This class extends the concept of Lucas cubes and retains numerous desirable properties associated with them.
Elif Tan, Luka Podrug, Vesna Iršič Chenoweth   +2 more
doaj   +2 more sources

On the Balancing-bilinear system of difference equations: solutions via some number sequences and global stability

Miskolc Mathematical Notes
In the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj   +2 more sources

Effect of Bacille Calmette-Guérin vaccination on immune responses to SARS-CoV-2 and COVID-19 vaccination. [PDF]

Clin Transl Immunology
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 ...
Messina NL, Germano S, Chung AW, van de Sandt CE, Stevens NE, Allen LF, Bonnici R, Croda J, Counoupas C, Grubor-Bauk B, Haycroft ER, Kedzierska K, McDonald E, McElroy R, Netea MG, Novakovic B, Perrett KP, Pittet LF, Purcell RA, Subbarao K, Triccas JA, Lynn DJ, Curtis N, BRACE Trial Consortium Group.   +23 more
europepmc   +2 more sources

Pell and Pell-Lucas hybrid quaternions

Filomat, 2023
In this paper, we investigate Pell and Pell-Lucas numbers what new properties we can obtain by working on a new number system-hybrid quaternions. Firstly, we present some new identities of Pell and Pell-Lucas numbers and quaternions.
Ferhat Kürüz, Ali Dağdeviren
semanticscholar   +1 more source

A Note on Two Fundamental Recursive Sequences

Annales Mathematicae Silesianae, 2021
In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
doaj   +1 more source