Results 11 to 20 of about 1,582,486 (262)

Construction of generalized bicomplex Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a new class of bicomplex numbers whose components are expressed in terms of bicomplex Leonardo numbers. The motivation for this study arises from the growing interest in generalizations of well-known integer sequences within ...
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
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Notes on generalized and extended Leonardo numbers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
This paper both extends and generalizes recently published properties which have been developed by many authors for elements of the Leonardo sequence in the context of second-order recursive sequences.
Anthony G. Shannon, Peter J.-S. Shiue, Shen C. Huang   +2 more
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A new perspective on bicomplex numbers with Leonardo number components [PDF]

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023
In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.
Murat TURAN, Sıddıka ÖZKALDI KARAKUŞ, Semra KAYA NURKAN   +2 more
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Dual Leonardo numbers

AIMS Mathematics, 2023
<abstract><p>This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence. Moreover, we presented a range of identities that provided deeper insights
Karataş, Adnan
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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   +3 more sources

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
openaire   +4 more sources

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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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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Pell Leonardo numbers and their matrix representations

Journal of New Results in Science
In this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
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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
doaj   +2 more sources