Results 21 to 30 of about 944 (165)
On Generalized Tribonacci Octonions
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 In this paper, we introduced generalized tribonacci octonion sequence which is a generalization of third order recurrence relations. We investigate many identities which are created by using generalized tribonacci sequence.
Arzu Özkoç Öztürk
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Solvent-Mediated Dewetting Principles for Cell-Sized Liposome Formation. [PDF]
SmallDynamics of solvent‐mediated dewetting for giant unilamellar liposome formation. Solvent removal, through changing lipid packing and membrane tension, is shown to induce partial dewetting into equilibrium low and high budding angle morphologies. Complete dewetting requires mechanical force, quantified using optical tweezers.
Bakouei M +6 more
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On Hybrid Hyper k-Pell, k-Pell–Lucas, and Modified k-Pell Numbers
Axioms, 2023 Many different number systems have been the topic of research. One of the recently studied number systems is that of hybrid numbers, which are generalizations of other number systems.
Elen Viviani Pereira Spreafico +2 more
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Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
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The Representation, Generalized Binet Formula and Sums of The Generalized Jacobsthal p-Sequence
Hittite Journal of Science and Engineering, 2016 In this study, a new generalization of the usual Jacobsthal sequence is presented, which is called the generalized Jacobsthal Binet formula, the generating functions and the combinatorial representations of the generalized Jacobsthal p-sequence are ...
Ahmet Daşdemir
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An Elementary Proof of the Generalization of the Binet Formula for $k$-bonacci Numbers
CoRR, 2022 We present an elementary proof of the generalization of the $k$-bonacci Binet formula, a closed form calculation of the $k$-bonacci numbers using the roots of the characteristic polynomial of the $k$-bonacci recursion.
Harold R. Parks, Dean C. Wills
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On the Bicomplex Generalized Tribonacci Quaternions
Mathematics, 2019 In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant
Can Kızılateş +2 more
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A simplified Binet formula for k-generalized Fibonacci numbers
J. Integer Seq., 2009 We present a particularly nice Binet-style formula that can be used to produce the k-generalized Fibonacci numbers (that is, the Tribonaccis, Tetranaccis, etc). Furthermore, we show that in fact one needs only take the integer closest to the first term of this Binet-style formula to generate the desired sequence.
Gregory P. B. Dresden, Zhaohui Du
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The sequence of trifurcating Fibonacci numbers
Ratio Mathematica, 2021 One of the interesting generalizations of Fibonacci sequence is a k-Fibonacci sequence, which is further generalized into the ‘Bifurcating Fibonacci sequence’.
Parimalkumar A. Patel +1 more
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Theory of Binet formulas for Fibonacci and Lucas p-numbers
Chaos, Solitons & Fractals, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stakhov, Alexey, Rozin, Boris
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