Results 1 to 10 of about 110 (96)

On Pell, Pell-Lucas, and Balancing Numbers [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers ...
Gül Karadeniz Gözeri, Karadeniz Gözeri Gül   +1 more
exaly   +6 more sources

On Bicomplex Pell and Pell-Lucas Numbers

Communications in Advanced Mathematical Sciences, 2018
In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between ...
Fügen Torunbalcı Aydın
doaj   +5 more sources

Dual-Gaussian Pell and Pell-Lucas numbers

Cumhuriyet Science Journal, 2022
In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell
Hasan Gökbaş
doaj   +3 more sources

Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers

Journal of Advanced Research in Natural and Applied Sciences, 2023
In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers.
Hasan Gökbaş
doaj   +3 more sources

Pell and Pell–Lucas Numbers as Difference of Two Repdigits

Afrika Matematika, 2023
to appear in Afrika ...
Edjeou, Bilizimbéyé, Faye, Bernadette
exaly   +3 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
exaly   +3 more sources

Reciprocal Formulae Among Pell and Lucas Polynomials

Mathematics, 2022
Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomial sums with Pell and Lucas polynomials as weight functions.
Dongwei Guo, Mei Bai, Wenchang Chu
exaly   +3 more sources

Non-Newtonian Pell and Pell-Lucas numbers

Journal of New Results in Science
In the present paper, we introduce a new type of Pell and Pell-Lucas numbers in terms of non-Newtonian calculus, which we call non-Newtonian Pell and non-Newtonian Pell-Lucas numbers, respectively.
Tülay Yağmur
doaj   +4 more sources

On the Spectral Norm of r-Circulant Matrices With the Pell and Pell-Lucas Numbers

Journal of Inequalities and Applications, 2016
Let us define A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ to be a n × n $n \times n$ r-circulant matrix. The entries in the first row of A = C r ( a 0 , a 1 , … , a n − 1 ) $A=C_{r}(a_{0},a_{1},\ldots,a_{n-1})$ are a i = P i
Ramazan Türkmen
exaly   +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