Results 31 to 40 of about 35,208 (291)
Formulae of the Frobenius number in relatively prime three Lucas numbers [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2020 In this paper, we find the explicit formulae of the Frobenius number for numerical semigroups generated by relatively prime three Lucas numbers 2 , L L i i and Lil for given integers i ≥ 3, l ≥ 4 .
Ratchanok Bokaew +2 more
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Square-free Lucas d-pseudoprimes and Carmichael-Lucas numbers [PDF]
Czechoslovak Mathematical Journal, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carlip, W., Somer, L.
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Solution to a pair of linear, two-variable, Diophantine equations with coprime coefficients from balancing and Lucas-balancing numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 Let Bₙ and Cₙ be the n-th balancing and Lucas-balancing numbers, respectively. We consider the Diophantine equations ax + by = (1/2)(a - 1)(b - 1) and 1 + ax + by = (1/2)(a - 1)(b - 1) for (a,b) ∈ {(Bₙ,Bₙ₊₁), (B₂ₙ₋₁,B₂ₙ₊₁), (Bₙ,Cₙ), (Cₙ,Cₙ₊₁)} and ...
R. K. Davala
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-order Fibonacci and Lucas hybrid numbers
, 2021 In this study, we describe the generalized k-order Fibonacci and Lucas numbers and give some important results with specific choices. The main purpose of this study is to define the generalized k-order Fibonacci hybrid and Lucas hybrid numbers and give ...
Suleyman Aydinyuz +3 more
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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
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A Study on Fibonacci and Lucas Bihypernomials
Discussiones Mathematicae - General Algebra and Applications, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
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Identities for Fibonacci and Lucas numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper several new identities are given for the Fibonacci and Lucas numbers. This is accomplished by by solving a class of non-homogeneous, linear recurrence relations.
George Grossman +2 more
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Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials
Discrete Dynamics in Nature and Society, 2012 We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci +2 more
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Almost neo cobalancing numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn this work, we determined the general terms of almost neo cobalancing numbers, almost Lucas-neo cobalancing numbers and almost neo cobalancers in terms of cobalancing and Lucas-cobalancing numbers. We also deduced some results on relationship with Pell,
Ahmet Tekcan, Ecem Akgüç
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An Alternating Sum of Fibonacci and Lucas Numbers of Order k
Mathematics, 2020 During the last decade, many researchers have focused on proving identities that reveal the relation between Fibonacci and Lucas numbers. Very recently, one of these identities has been generalized to the case of Fibonacci and Lucas numbers of order k ...
Spiros D. Dafnis +2 more
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