Results 11 to 20 of about 5,889 (226)
Pell numbers whose Euler function is a Pell number [PDF]
Publications de l'Institut Mathematique, 2017 We show that the only Pell numbers whose Euler function is also a Pell number are 1 and 2.
Faye, Bernadette, Luca, Florian
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p-Analogue of biperiodic Pell and Pell–Lucas polynomials [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this study, a binomial sum, unlike but analogous to the usual binomial sums, is expressed with a different definition and termed the p-integer sum. Based on this definition, p-analogue Pell and Pell–Lucas polynomials are established and the generating
Bahar Kuloğlu +2 more
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Pell Even Sum Cordial Labeling of Graphs [PDF]
Ratio Mathematica, 2023 LetG=(V,E) be a simple graph and let P_i be Pell numbers. For a bijectionf:V\left(G\right)\rightarrow{P_0,\ P_1,\ldots,P_{\left|V\right|-1}}, assign the label 1 for the edge e=uv if f\left(u\right)+f(v) is even and label 0 otherwise. Then f is said to be
Christina Mercy, T Tamizh Chelvam
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Pell Equations and ℱpl-Continued Fractions [PDF]
Journal of Mathematics, 2022 In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l.
Seema Kushwaha
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The complex-type Pell p-numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we define the complex-type Pell p-numbers and give the generating matrix of these defined numbers. Then, we produce the combinatorial representation, the generating function, the exponential representation and the sums of the complex-type ...
Yeşim Aküzüm +2 more
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On Mixed 𝐵-Concatenations of Pell and Pell–Lucas Numbers which are Pell Numbers [PDF]
Mathematica PannonicaLet (𝑃𝑛)𝑛≥0 and (𝑄𝑛)𝑛≥0 be the Pell and Pell–Lucas sequences. Let 𝑏 be a positive integer such that 𝑏 ≥ 2. In this paper, we prove that the following two Diophantine equations 𝑃𝑛 = 𝑏𝑑𝑃𝑚 + 𝑄𝑘 and 𝑃𝑛 = 𝑏𝑑𝑄𝑚 + 𝑃𝑘 with 𝑑, the number of digits of 𝑃𝑘 or 𝑄𝑘 in base 𝑏, have only finitely many solutions in nonnegative integers (𝑚, 𝑛, 𝑘, 𝑏, 𝑑).
Adédji, Kouéssi Norbert +1 more
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Incomplete k-Pell, k-Pell-Lucas and Modified k-Pell Numbers [PDF]
Hacettepe Journal of Mathematics and Statistics, 2016 In this paper, it is defined the incomplete $k$-Pell, $k$-Pell-Lucas and Modified $k$-Pell numbers, it is studied the recurrence relations, some properties of these sequences of integers and their generating functions.
Wani, A. A. +5 more
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On Pell and Pell-Lucas Generalized Octonions [PDF]
, 2021 In this study, we gave a generalization on Pell and Pell-Lucas octonions over the algebra $\mathbb{O}(a,b,c)$ where $a,b$ and $c$ are real numbers. For these number sequences, we obtain Binet formulas and gave some well-known identities such as Catalan's
Ümit TOKEŞER +7 more
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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
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On Some Properties of Bihyperbolic Numbers of The Lucas Type
Communications in Advanced Mathematical Sciences, 2023 To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
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