Results 31 to 40 of about 1,206 (140)
Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory
Mathematica Montisnigri, 2023 In this article, we have developed a new method for coding\decoding the Jacobsthal and Jacobsthal-Lucas sequences via matrix representations. In this method, coding\decoding is done by transforming the messages into a square matrix. This process aims to not only increase the reliability of information security technology but also to provide the ability
Bahar Kuloğlu, Engin Özkan
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The Third Order Jacobsthal Octonions: Some Combinatorial Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
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On Some Properties of Bihyperbolic Numbers of The Lucas Type
Communications in Advanced Mathematical Sciences, 2023 To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
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On Fibonacci (k,p)-Numbers and Their Interpretations
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 In this paper, we define new kinds of Fibonacci numbers, which generalize both Fibonacci, Jacobsthal, Narayana numbers and Fibonacci p-numbers in the distance sense, using the definition of a distance between numbers by a recurrence relation according to
Berke Cengiz, Yasemin Taşyurdu
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On k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers
Journal of Discrete Mathematical Sciences and Cryptography, 2021 In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-J...
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On complex gaussian jacobsthal and jacobsthal-lucas quaternions
Cumhuriyet Science Journal, 2020 The main aim of this work is to introduce the complex Gaussian Jacobsthal and Jacobsthal-Lucas quaternions and investigate their structures. We obtain the recurrence relations, Binet formulas and generating functions for these quaternions.
Hasan Arslan
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Tribonacci and Tribonacci-Lucas Sedenions
, 2018 The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 ...
Soykan, Yüksel
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Generating matrix of the bi-periodic Lucas numbers
, 2016 In this paper, firstly, we introduce the Q_{l}-Generating matrix for the bi-periodic Lucas numbers. Then, by taking into account this matrix representation, we obtain some properties for the bi-periodic Fibonacci and Lucas ...
Coskun, Arzu, Taskara, Necati
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On the Norms of r−Hankel and r−Toeplitz Matrices
Mathematical Problems in Engineering, Volume 2019, Issue 1, 2019., 2019 In this paper, using the properties of r−Hankel and r−Toeplitz matrices, combining the properties of exponential form, we shall study the spectral norms of r−Hankel and r–Toeplitz matrices involving exponential form e(x).
Baijuan Shi, Fazal M. Mahomed
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On Power Sums Involving Lucas Functions Sequences
Mathematical Problems in Engineering, Volume 2017, Issue 1, 2017., 2017 We present some general formulas related to sum of powers, also with alternating sign, involving Lucas functions sequences. In particular, our formulas give a synthesis of various identities involving sum of powers of well‐known polynomial sequences such as Fibonacci, Lucas, Pell, Jacobsthal, and Chebyshev polynomials.
Stefano Barbero, Fazal M. Mahomed
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