Results 31 to 40 of about 1,654,498 (260)
Generalized dual Leonardo quaternion numbers
In this paper, we introduce dual k-Leonardo quaternions which we call generalized dual Leonardo quaternion numbers. Some algebraic properties of these quaternions such as recurrence relation, generating function, Binet’s formula, Cassini identity, sum ...
Aydın, Fügen Torunbalcı
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Hybrid Quaternions of Leonardo
Trends in Computational and Applied Mathematics, 2022 In this article, we intend to investigate the Leonardo sequence presenting the hybrid Leonardo quaternions. To explore Hybrid Quaternions of Leonardo, the priori, sequence of Leonardo, quaternions and hybrid numbers were presented.
M. C. S. Mangueira +2 more
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Hyper-Leonardo p-numbers and associated norms [PDF]
Contributions to MathematicsSummary: In this paper, we introduce hyper-Leonardo \(p\)-numbers, which generalize ``hyper-Leonardo numbers''. We establish their various combinatorial properties, including recurrence relations, summation formulas, and the generating function. We also compute Euclidean norms and obtain bounds for spectral norms of different forms of \(k\)-circulant ...
Nassima Belaggoun, Hacène Belbachir
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Generalized Leonardo Numbers [PDF]
, 2021 In this paper, we investigate the generalized Leonardo sequences and we deal with, in detail, three special cases, namely, modified Leonardo, Leonardo-Lucas and Leonardo sequences.
Soykan, Yüksel
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On the Generalized Leonardo Numbers
, 2022 See the abstract in the attached pdf.
Kuhapatanakul, Kantaphon +1 more
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The Generalization of Gaussians and Leonardo’s Octonions
Annales Mathematicae Silesianae, 2023 In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented.
Vieira Renata Passos Machado +3 more
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On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions
Journal of New Theory, 2023 In this paper, we present a new definition, referred to as the Francois sequence, related to the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino +2 more
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GAUSSIAN LEONARDO POLYNOMIALS AND APPLICATIONS OF LEONARDO NUMBERS TO CODING THEORY
Journal of Science and Arts, 2023 In this paper, we firstly introduce the Gaussian Leonardo polynomial sequences {GLe_n (x)}_(n=0)^∞ and we obtain Binet's formula, generating function of this sequence. Moreover, we define the matrix Gl(x) in the form of 3 x 3. Finally, we study on the coding and decoding applications of the Leonardo number by using the Leonardo matrix P.
SELİME BEYZA ÖZÇEVİK +1 more
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, 2023 In this paper, we introduce a new generalization of Leonardo numbers, which are so-called Leonardo $p$-numbers. We investigate some basic properties of these numbers. We also define incomplete Leonardo $p$-numbers which generalize the incomplete Leonardo numbers.
Tan, Elif, Leung, Ho-Hun
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Números Híbridos de K-Leonardo [PDF]
, 2022 This work presents a study on the hybrid numbers of K-Leonardo, based on the results obtained on the Leonardo sequence presented at first by Catarino and Borges (2020) and on the set of hybrid numbers, initially presented by Özdemir (2018).
Alves, Francisco Régis Vieira +5 more
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