Results 21 to 30 of about 35,208 (291)

Dual-Gaussian Pell and Pell-Lucas numbers

Cumhuriyet Science Journal, 2022
In this study, we define a new type of Pell and Pell-Lucas numbers which are called dual-Gaussian Pell and dual-Gaussian Pell-Lucas numbers. We also give the relationship between negadual-Gaussian Pell and Pell-Lucas numbers and dual-complex Pell
Hasan Gökbaş
doaj   +1 more source

Symmetric and generating functions of generalized (p,q)-numbers

Kuwait Journal of Science, 2021
In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba, Ali Boussayoud, Abdelhamid Abderrezzak   +2 more
doaj   +1 more source

On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers

Mathematics, 2021
Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing ...
Younseok Choo
doaj   +1 more source

ALTERED NUMBERS OF LUCAS NUMBER SQUARED

Journal of Scientific Reports-A, 2023
We investigate two types altered Lucas numbers denoted and defined by adding or subtracting a value from the square of the Lucas numbers. We achieve these numbers form as the consecutive products of the Fibonacci numbers. Therefore, consecutive sum-subtraction relations of altered Lucas numbers and their Binet-like formulas are given by using ...
Fikri KÖKEN, Emre KANKAL
openaire   +3 more sources

On Some Properties of Bihyperbolic Numbers of The Lucas Type

Communications in Advanced Mathematical Sciences, 2023
To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
doaj   +1 more source

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +2 more sources

-Jacobsthal-Lucas hybrid numbers

, 2021
In this paper, we consider the k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. We obtain the Binet formulas, generating functions, exponential generating functions and summation formulas of k-Jacobsthal and k-Jacobsthal-Lucas hybrid numbers. Also, we
Nayil Kilic, KILIÇ, Nayil
core   +1 more source

Generalized sums of Fibonacci and Lucas Numbers [PDF]

, 2021
Here we are proposing generalized sums for Fibonacci and Lucas numbers. In the case of the Fibonacci sequence, the generalized sum contains four Fibonacci numbers.
Sparavigna, Amelia Carolina, Sparavigna, A. C.   +1 more
core   +1 more source

Fermat $k$-Fibonacci and $k$-Lucas numbers [PDF]

, 2020
summary:Using the lower bound of linear forms in logarithms of Matveev and the theory of continued fractions by means of a variation of a result of Dujella and Pethő, we find all $k$-Fibonacci and $k$-Lucas numbers which are Fermat numbers.
Herrera, Jose L., Bravo, Jhon J.
core   +1 more source

Generalized Hybrid Fibonacci and Lucas p-numbers

, 2022
The hybrid numbers are a generalization of complex, hyperbolic and dual numbers. Until this time, many researchers have studied related to hybrid numbers.
Kocer, E. Gokcen, Alsan, Huriye
core   +1 more source