Results 21 to 30 of about 13,753 (265)

Hybrinomials related to hyper-Leonardo numbers [PDF]

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023
In this paper, we define hybrinomials related to hyper-Leonardo numbers. We study some of their properties such as the recurrence relation and summation formulas. In addition, we introduce hybrid hyper Leonardo numbers.
Efruz Özlem MERSİN, Mustafa BAHŞİ
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A Note on the Fuzzy Leonardo Numbers

Transactions on Fuzzy Sets and Systems
In this work, we define a new sequence denominated by fuzzy Leonardo numbers. Some algebraic properties of this new sequence are studied and several identities are established.
Elen Viviani Pereira Spreafico, Eudes Antonio Costa, Paula Maria Machado Cruz Catarino   +2 more
doaj   +2 more sources

Some results on geometric circulant matrices involving the Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, by the motivation of the papers in the literature, we construct a special geometric circulant matrix Leᵣ* whose entries are the Leonardo numbers. Then, we investigate some linear algebraic properties of these matrices.
Samet Arpacı, Fatih Yılmaz
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Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers

Axioms
This article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahim A. Alluhaybi, Amr Kamel Amin   +3 more
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Some Properties of the Generalized Leonardo Numbers

Journal of New Theory
In this study, various properties of the generalized Leonardo numbers, which are one of the generalizations of Leonardo numbers, have been investigated. Additionally, some identities among the generalized Leonardo numbers have been obtained. Furthermore,
Yasemin Alp
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Hyper-Leonardo p-numbers and associated norms [PDF]

Contributions to Mathematics
Summary: 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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On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal

Journal of Function Spaces, 2022
In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v,k=0,1,2,⋯, where l=lk is a sequence of Leonardo numbers.
Taja Yaying, Bipan Hazarika, O. M. Kalthum S. K. Mohamed, Awad A. Bakery   +3 more
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Generalized Horadam-Leonardo Numbers and Polynomials

Asian Journal of Advanced Research and Reports, 2023
In this study, we define and investigate some linear third order polynomials called the generalized Horadam-Leonardo polynomials (with its two special cases, namely), (r, s)-Horadam-Leonardo and (r, s)-Horadam-Leonardo-Lucas polynomials. We give Binet’s formulas, generating functions, Simson formulas, and the sumformulas for these polynomial sequences.
Yüksel Soykan, Soykan, Yüksel
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Hyper-Dual Leonardo Numbers [PDF]

, 2022
In the present paper, the hyper-dual Leonardo numbers will be introduced with the use of Leonardo numbers. Some algebraic properties of these numbers such as recurrence relation, generating function, Catalan’s and Cassini’s identity, Binet’s formula, sum formulas will also be obtained.
ÖZKALDI KARAKUŞ, Sıddıka, KAYA NURKAN, Semra, TURAN, Murat   +2 more
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On Leonardo Numbers

, 2019
In this paper, we consider the sequence of Leonardo numbers and we present some properties involving this sequence, including the Binet formula, and the generating function. Furthermore, Cassini’s identity, Catalan’s identity and d’Ocagne’s identity for this sequence are given. Also some expressions of sums and products involving terms of this sequence
Catarino, Paula, Borges, Anabela
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