Results 31 to 40 of about 1,912,276 (202)
Generalized Fibonacci Numbers, Cosmological Analogies, and an Invariant [PDF]
Symmetry, 2021 Continuous generalizations of the Fibonacci sequence satisfy ODEs that are formal analogues of the Friedmann equation describing a spatially homogeneous and isotropic cosmology in general relativity. These analogies are presented together with their Lagrangian and Hamiltonian formulations and with an invariant of the Fibonacci sequence.
Valerio Faraoni, Farah Atieh
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Some properties of k-generalized fibonacci numbers [PDF]
, 2021 In the present paper, we propose some properties of the new family K-generalized Fibonacci numbers which related to generalized Fibonacci numbers. Moreover, we give some identities involving binomial coefficients for K-generalized Fibonacci numbers ...
Aydoğdu, A., Özkan, E., Yılmaz, N.
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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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GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS [PDF]
Modern Physics Letters B, 2002 We establish new product identities involving the q-analogue of the Fibonacci numbers. We show that the identities lead to alternate expressions of generating functions for close-packed dimers on non-orientable surfaces.
Lu, W. T., Wu, F. Y.
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Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences
Mathematics, 2023 In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k-generalized Fibonacci sequence which are almost repdigits. In particular, we find all k-
Alaa Altassan, Murat Alan
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Carlitz’s Equations on Generalized Fibonacci Numbers
Symmetry, 2022 Carlitz solved some Diophantine equations on Fibonacci or Lucas numbers. We extend his results to the sequence of generalized Fibonacci and Lucas numbers. In this paper, we solve the Diophantine equations of the form An1⋯Ank=Bm1⋯BmrCt1⋯Cts, where (An), (Bm), and (Ct) are generalized Fibonacci or Lucas numbers.
Min Wang, Peng Yang 0019, Yining Yang
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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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Bernoulli F-polynomials and Fibo–Bernoulli matrices
Advances in Difference Equations, 2019 In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
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On the bounds for the spectral norms of geometric circulant matrices
Journal of Inequalities and Applications, 2016 In this paper, we define a geometric circulant matrix whose entries are the generalized Fibonacci numbers and hyperharmonic Fibonacci numbers. Then we give upper and lower bounds for the spectral norms of these matrices.
Can Kızılateş, Naim Tuglu
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GENERALIZED HYBRID FIBONACCI p - NUMBERS [PDF]
, 2021 Yüksek Lisans TeziKompleks, hiperbolik ve dual sayıları içeren değişmeli olmayan bir halka olan Hybrid sayılar kümesi Özdemir tarafından tanımlanmıştır. Hybrid sayılar ve özel sayı dizileri ile ilgili günümüze kadar birçok çalışma yapılmıştır.
Alşan, Hüriye
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