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HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source

Pell and Pell-Lucas numbers with only one distinct digit [PDF]

In this paper, we show that there are no Pell or Pell-Lucas numbers larger than 10 with only one distinct ...
Luca, Florian, Faye, Bernadette
core  

Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$

, 2022
Let $b$ be a positive integer such that $2 \leq b \leq 10$. In this study, we find all Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$.
Adedji, Kouessi Norbert, Rihane, Salah Eddine, Togbe, Alain, Filipin, Alan   +3 more
core  

Norms Of Hankel-Hessenberg and Toeplitz-Hessenberg Matrices Involving Pell and Pell-Lucas Numbers [PDF]

, 2016
We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a P = ; Q HH =   ij a , ij i j a Q =and ...
GÖKBAS, Hasan
core   +1 more source

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   +1 more source

ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS

, 2013
In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences and investigate some properties
Halıcı, Serpil
core  

On Some Inequalıtıes And Hankel Matrıces Involvıng Pell, Pell-Lucas Numbers

, 2013
In [4], the authors defined Toeplitz and Hankel matrices with Pell numbers and gave bounds for the spectral norms of them. In this study, we define Hankel matrices involving the Pell, Pell-Lucas and modified Pell sequences and investigate some properties
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü, Halıcı, Serpil   +1 more
core  

Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars

Axioms
The Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu, Hai-Ling Li, Zhi-Hong Zhang, Tao Liu   +3 more
doaj   +1 more source

k-Pell, k-Pell-Lucas and modified k-Pell numbers: some identities and norms of Hankel matrices [PDF]

, 2015
In this paper we present some identities involving terms of k-Pell, k-Pell-Lucas and Modified k-Pell sequences. We also give some results on the column and row norms of Hankel matrices which entries are numbers of these ...
Campos, Helena, Vasco, Paulo, Aires, Ana Paula, Borges, Anabela, Catarino, Paula   +4 more
core   +1 more source

A Note on Generalized k-Order F&L Hybrinomials

Axioms
In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order ...
Süleyman Aydınyüz, Gül Karadeniz Gözeri   +1 more
doaj   +1 more source