Results 121 to 130 of about 5,889 (226)

Convolutions of the generalized Pell and Pell-Lucas numbers

Filomat, 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

Fixed and periodic points of general mappings with applications

Applied General Topology
In this paper, we establish new results on the existence, uniqueness, and convergence of general mappings in two cases: mappings that admit only a fixed point, and mappings that admit both fixed and periodic points. Our findings apply to both contractive
Ravindra Bisht, Arvind Bhatt, Radha Joshi, R P Pant, Vladimir Rakočević   +4 more
doaj   +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

Some properties of sums involving pell numbers [PDF]

, 2006
In this note we prove that for all positive integers n, the sum S 4n+1 of the first 4n + 1 Pell numbers is a perfect square. As a consequence, an identity involving binomial coefficients and Pell numbers is given.
Díaz-Barrero, José Luis, Falcón Santana, Sergio   +1 more
core  

Examining Anti-Poverty Programs to Address Student’s Unmet Basic Needs at Texas Hispanic-Serving Institutions over the Course of the COVID-19 Pandemic

Trends in Higher Education
Many post-secondary institutions have implemented anti-poverty programs to address students’ basic needs insecurities. This study examined the provision of 17 types of basic needs programs at Texas Hispanic-serving institutions over the course of the ...
Lisa K. Zottarelli, Thankam Sunil, Xiaohe Xu, Shamatanni Chowdhury   +3 more
doaj   +1 more source

Pell Equation. V. Systematic relation between the Pythagorean triples and Pell equations [PDF]

, 2008
Systematic relations between the algebra of the Pell equations, x^2 - Dy^2 = 1 (called Pell-1) and x^2 - Dy^2 = -1 (called Llep-1), and the geometry of Pythagorean triangles or Pythagorean triples (PTs) are discussed. Although Llep-1 is solvable only for
Hosoya, haruo, ホソヤ, ハルオ
core  

An approximate Jerusalem square whose side equals a Pell number [PDF]

, 2019
5 pages, 3 figuresWe take advantage of the properties of the Pell numbers to construct an integer version of the Jerusalem square ...
Ramaharo, Franck
core  

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   +1 more source

Rational Polynomial Pell Equations. [PDF]

, 2013
Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. In this thesis we study the question of when does the polynomial Pell equation, f(x)^2-d(x)g(x)^2=1 have solutions f(x), g(x) in R[x] with g(x) non-zero.
Scherr, Zachary L.
core  

College on the Margins: A Comprehensive Case Study of Three College-in-Prison Programs in the Southern United States

Behavioral Sciences
Research has well documented the far-reaching benefits of providing educational opportunities for individuals who are incarcerated, applicable to the students themselves and society. Given the many benefits, it is encouraging that access to U.S.
Haruna Suzuki, John C. Begeny
doaj   +1 more source