Results 11 to 20 of about 15,160 (203)
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 ...
Gul Karadeniz Gözeri
exaly +10 more sources
Pell and Pell–Lucas Numbers with Applications
, 2014 Pell and Pell–Lucas Numbers has been carefully crafted as an undergraduate/graduate textbook; the level of which depends on the college/university and the instructor’s preference.
Koshy, Thomas
exaly +4 more sources
On Bicomplex Pell and Pell-Lucas Numbers [PDF]
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 +6 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 +4 more sources
Non-Newtonian Pell and Pell-Lucas numbers
Journal of New Results in ScienceIn 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 +5 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 +4 more sources
On certain bihypernomials related to Pell and Pell-Lucas numbers
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce the concept of Pell and Pell-Lucas bihypernomials as a generalization of bihyperbolic Pell and Pell-Lucas numbers, respectively ...
LIANA, Anetta SZYNAL
core +5 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 +2 more
exaly +4 more sources
On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers [PDF]
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, Hasan Gökbaş
doaj +3 more sources
On Generalized Pell and Pell–Lucas Numbers [PDF]
Iranian Journal of Science and Technology, Transaction A: Science, 2019 In this paper, we introduce and study a new one-parameter generalization of Pell numbers. We describe their distinct properties also related to matrix representation.
Lucyna Trojnar-Spelina, Iwona Włoch
exaly +3 more sources