Results 31 to 40 of about 263 (131)
Research on splitting quaternions with generalized Tribonacci hybrid number components [PDF]
Notes on Number Theory and Discrete MathematicsThis paper introduces the Generalized Tribonacci Hybrid Split Quaternion (GTHSQ), a novel split quaternion with coefficients derived from generalized Tribonacci hybrid numbers.
Yanni Yang, Yong Deng
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Addition and multiplication of beta-expansions in generalized Tribonacci base [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We study properties of β-numeration systems, where β > 1 is the real root of the polynomial x3 - mx2 - x - 1, m ∈ ℕ, m ≥ 1. We consider arithmetic operations on the set of β-integers, i.e., on the set of numbers whose greedy expansion in base β has no ...
Petr Ambrož +2 more
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A note on the self-convolution of the Tribonacci sequence [PDF]
Notes on Number Theory and Discrete MathematicsWe present a simple formula for the self-convolution of the Tribonacci numbers. The resulting identity is considerably simpler than that obtained in a recent publication.
Karol Gryszka
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Computation of L_⊕ for several cubic Pisot numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 In this article, we are dealing with β-numeration, which is a generalization of numeration in a non-integer base. We consider the class of simple Parry numbers such that dβ(1) = 0.k1d-1 kd with d ∈ ℕ, d ≥ 2 and k1 ≥ kd ≥ 1.
Julien Bernat
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Comment On “On some Properties of Tribonacci Quaternion”
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 This short commentary serves as a correction of the paper by Akkus and Kızılaslan [I. Akkus and G. Kızılaslan, On some Properties of Tribonacci Quaternion, An. Şt. Univ. Ovidius Constanţa, 26(3), 2018, 5–20].
Cerda-Morales Gamaliel
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The Generalized Tribonacci Numbers with Negative Subscripts
Integers, 2014 See the abstract in the attached pdf.
Kantaphon Kuhapatanakul +1 more
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Generalized Tribonacci Function and Tribonacci Numbers
International Journal of Recent Technology and Engineering (IJRTE), 2020 In the language of mathematics, sequence is considered to be list of numbers arranged in a particular way. A lot of sequences have been minutely studied till date. One of the most conspicuous among them is Fibonacci sequence. It is the sequence, which can be found by adding two previous terms, where the initial conditions are 0 and 1.
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On the Characteristic Polynomial of the Generalized k-Distance Tribonacci Sequences
Mathematics, 2020 In 2008, I. Włoch introduced a new generalization of Pell numbers. She used special initial conditions so that this sequence describes the total number of special families of subsets of the set of n integers.
Pavel Trojovský
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Avoiding patterns in irreducible permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 We explore the classical pattern avoidance question in the case of irreducible permutations, i.e., those in which there is no index $i$ such that $\sigma (i+1) - \sigma (i)=1$.
Jean-Luc Baril
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On Tribonacci functions and Gaussian Tribonacci functions
, 2021 In this work, Gaussian Tribonacci functions are defined and investigated on the set of real numbers $\mathbb{R}$, i.e., functions $f_G: \mathbb{R} \rightarrow \mathbb{C}$ such that for all $x \in \mathbb{R}, n \in \mathbb{Z}, f_G(x+n)=$ $f(x+n)+i f(x+n ...
Okumuş, İnci +2 more
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