Results 1 to 10 of about 1,582,486 (262)
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
openaire +2 more sources
Some of the next articles are maybe not open access.
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 +4 more sources
On Gaussian Leonardo numbers [PDF]
Contributions to Mathematics, 2023 The Gaussian Leonardo sequence is a new sequence defined in this study. Some identities for this new sequence are given. Some relations among the Gaussian Fibonacci numbers, Gaussian Lucas numbers, and Gaussian Leonardo numbers are also proven. Moreover,
Dursun Taşcı
doaj +3 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 +4 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 +3 more sources
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 +2 more
exaly +4 more sources
Earthline Journal of Mathematical Sciences, 2022 In this paper, we define and investigate modified p-Leonardo, p-Leonardo-Lucas and p-Leonardo sequences as special cases of the generalized Leonardo sequence. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences.
Yüksel Soykan
openaire +3 more sources
Notes on Number Theory and Discrete Mathematics, 2022 In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities. Also, we calculate summation formulas for complex Leonardo numbers involving complex Fibonacci and Lucas numbers.
Karatas, Adnan
openaire +4 more sources