Results 141 to 150 of about 102,319 (175)

Hybrid Leonardo numbers

Chaos, Solitons and Fractals, 2021
Abstract Until today, many researchers have studied related to hybrid numbers which are a generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo numbers, we introduce the hybrid Leonardo numbers. Also, we give some algebraic properties of the hybrid Leonardo numbers such as recurrence relation, generating function ...
Emine Gokcen Kocer
exaly   +3 more sources

Generalised Leonardo numbers

Logic Journal of the IGPL
Abstract This note covers some of the history of Leonardo numbers. We retrieve some of the most recent results on this sequence, as well as some relevant historical interconnections. In the end, we also provide some conjectures and open problems for some of its extensions involving the modular periodicity.
Carlos M da Fonseca, Can Kızılateş, Paulo Saraiva, Anthony G Shannon   +3 more
openaire   +2 more sources

On Leonardo Numbers and Fibonacci Fundamental System

, 2023
Elen Viviani Pereira Spreafico, Paula Maria Machado Cruz Catarino   +1 more
openaire   +2 more sources

Some Properties of Leonardo Numbers

2020
In this paper, we consider the Leonardo numbers which is defined by Catarino and Borges. Using Binet's formula of this sequence, we obtain new identities of the Leonardo numbers. Also , we give relations among the Fibonacci, Lucas and Leonardo numbers.
ALP, Yasemin, KOÇER, E. Gökçen
openaire   +1 more source

Leonardo da Vinci and Fluid Mechanics

Annual Review of Fluid Mechanics, 2021
Ivan Marusic, Susan Margaret Broomhall
exaly  

Imaging and spectroscopic data combined to disclose the painting techniques and materials in the fifteenth century Leonardo atelier in Milan

Dyes and Pigments, 2021
Anna Galli, Marco Gargano, Letizia Bonizzoni   +2 more
exaly  

Generalized Fibonacci–Leonardo numbers

Journal of Difference Equations and Applications, 2023
Urszula Bednarz, Małgorzata Wołowiec-Musiał   +1 more
openaire   +1 more source

Leonardo da Vinci’s “Last Supper”: a case study to evaluate the influence of visitors on the Museum preservation systems

Environmental Science and Pollution Research, 2021
Oriana Motta, Concetta Pironti, Maria Ricciardi   +2 more
exaly  

Gaussian Quaternion Involving Leonardo Numbers

Sarajevo Journal of Mathematics
In this study, using the Leonardo numbers, we define a new type of quaternion that is called a Leonard Gaussian quaternion. We also give a negative-Leonardo Gaussian quaternion. These numbers are introduced from the set of complex numbers and quaternions. Moreover, we obtain the Binet’s formula, generating function formula, d’Ocagne’s identity, Catalan’
openaire   +1 more source