Results 31 to 40 of about 15,160 (203)
On Pell and Pell−Lucas Hybrid Numbers
Commentationes Mathematicae, 2018 In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating
Szynal-Liana, Anetta, Włoch, Iwona
core +2 more sources
s-PELL AND s-PELL-LUCAS NUMBERS AND THEIR PROPERTIES
Far East Journal of Mathematical Sciences (FJMS), 2017 We introduce new families of s-Pell and s-Pell-Lucas numbers and establish certain identities. We also present the recurrence relations and the generating functions for a particular case.
Kirgiz H. +3 more
core +3 more sources
On hyper-dual vectors and angles with Pell, Pell-Lucas numbers
AIMS MathematicsIn 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 +2 more sources
On the (s,t)-Pell and (s,t)-Pell–Lucas sequences and their matrix representations
Applied Mathematics Letters, 2012 In this paper, we first give new generalizations for (s,t)-Pell {pn(s,t)}n∈N and (s,t)-Pell Lucas {qn(s,t)}n∈N sequences for Pell and Pell–Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of {pn(s,t)}n∈N and {
Taskara, Necati, Gulec, Hasan Huseyin
exaly +2 more sources
Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers
, 2022 We solve the two Diophantine equations $P_k=J_n+J_m$ and $Q_k=J_n+J_m$ where $\left\lbrace P_{k}\right\rbrace_{k\geq0}$, $\left\lbrace Q_{k}\right\rbrace_{k\geq0}$ and $\left\lbrace J_{k}\right\rbrace_{k\geq0}$ are the sequences of Pell numbers, Pell ...
Gaber, Ahmed
core +2 more sources
The Binet formulas for the Pell and Pell-Lucas p-numbers
Ars Comb., 2007 In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers.
Kocer, E. Gokcen, Tuglu, Naim
core +3 more sources
Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this work, the general terms of almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers.
Ahmet Tekcan, Esra Zeynep Türkmen
doaj +1 more source
The Pell and Pell-Lucas Numbers via Square Roots of Matrices
, 2016 In this paper, the Pell and Pell-Lucas numbers with specialized rational subscripts are derived from general expressions by square roots of the matrices M-n and N-n.
Arslan, Saadet, Koken, Fikri
core +2 more sources
On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
Mathematics, 2021 Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing ...
Younseok Choo
doaj +1 more source