Results 1 to 10 of about 11,950 (143)

On Leonardo Pisano Hybrinomials

Mathematics, 2021
A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials.
Ferhat Kuruz, Paula Catarino, Ali Dağdeviren   +2 more
exaly   +3 more sources

Ordered Leonardo Quadruple Numbers

Symmetry, 2023
In this paper, we introduce a new quadruple number sequence by means of Leonardo numbers, which we call ordered Leonardo quadruple numbers. We determine the properties of ordered Leonardo quadruple numbers including relations with Leonardo, Fibonacci, and Lucas numbers. Symmetric and antisymmetric properties of Fibonacci numbers are used in the proofs.
Semra Kaya Nurkan
exaly   +2 more sources

A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields

Mathematics, 2023
In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers.
Diana Savin, Elif Tan, Semih Yilmaz
exaly   +3 more sources

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
doaj   +2 more sources

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
doaj   +2 more sources

On Gaussian Leonardo numbers [PDF]

Contributions to Mathematics, 2023
Dursun Taşcı
doaj   +2 more sources

On Hybrid Numbers with Gaussian Leonardo Coefficients

Mathematics, 2023
We consider the Gaussian Leonardo numbers and investigate some of their amazing characteristic properties, including their generating function, the associated Binet formula and Cassini identity, and their matrix representation. Then, we define the hybrid
Nagihan Kara, Fatih Yilmaz
doaj   +2 more sources

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 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
doaj   +3 more sources

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