Results 91 to 100 of about 10,730 (186)
Advances in Research, 2020 In this paper, closed forms of the summation formulas for generalized Fibonacci and Gaussian generalized Fibonacci numbers are presented. Then, some previous results are recovered as particular cases of the present results. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers and ...
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Determinants Containing Powers of Generalized Fibonacci Numbers
, 2015 We study determinants of matrices whose entries are powers of Fibonacci numbers. We then extend the results to include entries that are powers of generalized Fibonacci numbers defined as a second-order linear recurrence relation. These studies have led us to discover a fundamental identity of determinant involving powers of linear polynomials. Finally,
Tangboonduangjit, Aram +1 more
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Image Encryption Using Quantum 3D Mobius Scrambling and 3D Hyper-Chaotic Henon Map. [PDF]
Entropy (Basel), 2023 Wang L, Ran Q, Ding J.
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Combined Pseudo-Random Sequence Generator for Cybersecurity. [PDF]
Sensors (Basel), 2022 Maksymovych V +5 more
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Remarks On General Fibonacci Numbers
, 2015 We dedicate this paper to investigate the most generalized form of Fibonacci Sequence, one of the most studied sections of the mathematical literature. One can notice that, we have discussed even a more general form of the conventional one. Although it seems the topic in the first section has already been covered before, but we present a different ...
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Number theory, borderline dimension and extensive entropy in distributions of ranked data. [PDF]
PLoS One, 2022 Velarde C, Robledo A.
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Tunable multichannel Fibonacci one-dimensional terahertz photonic crystal filter. [PDF]
Sci Rep, 2023 Sepahvandi V, Rezaei B, Aly AH.
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AxiomsIn this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions.
Can Kızılateş +3 more
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On Generalized Metallic Leonardo Numbers: Silver, Bronze, and Copper Cases
Universal Journal of Mathematics and ApplicationsIn this article, we discuss three new extensions of the Leonardo numbers in a generalized way, which we call the generalized Silver, Bronze, and Copper Leonardo numbers that converge to the Silver, Bronze, and Copper ratios, unifying existing metallic ...
Munesh Kumari +2 more
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Extended Wang sum and associated products. [PDF]
PLoS One, 2022 Reynolds R, Stauffer A.
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