Results 91 to 100 of about 1,467 (207)

Some properties of Fibonacci numbers, Fibonacci octonions, and generalized Fibonacci-Lucas octonions [PDF]

Advances in Difference Equations, 2015
In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements.
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Fibonacci ve Lucas serileri [PDF]

, 2012
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Özdoğan, Canan
core   +1 more source

Some conjectures concerning sums of odd powers of Fibonacci and Lucas numbers

, 2009
This paper contains observations, conjectures and open questions concerning two finite sums that involve Fibonacci and Lucas numbers. Certain authors have become aware of the contents of this 9hitherto unpublished) manuscript and have made inroads into ...
Melham, R
core  

Orbit quotients in the radical ring of multiplicative arithmetic functions [PDF]

Mathematica Bohemica
We extend the role of algebraic structures to the study of multiplicative arithmetic functions by associating the corresponding radical ring and a left-group action with the quasi-field (two-sided brace) of multiplicative arithmetic functions.
Emil Daniel Schwab
doaj   +1 more source

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

Mathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud, Salah Boulaaras, Ali Allahem   +2 more
doaj   +1 more source

Determinantal Identities of Fibonacci, Fibonacci Like and Lucas Numbers

Turkish Journal of Analysis and Number Theory, 2014
Determinants have played a significant part in various areas in mathematics. For instance, they are quite useful in the analysis and solution of system of linear equations. There are different perspectives on the study of determinant. In this paper we present some determinant identities of Fibonacci and Lucas numbers.
Sanjay Harne, V.H. Badshah, Sapna Sethiya   +2 more
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A new generalization of Fibonacci hybrid and Lucas hybrid numbers

, 2020
In the paper, we define the q − Fibonacci hybrid numbers and the q − Lucas hybrid numbers, respectively. Then, we give some algebraic properties of q − Fibonacci hybrid numbers and the q − Lucas hybrid ...
Can Kızılateş
core   +1 more source

The imperfect Fibonacci and Lucas numbers

Irish Mathematical Society Bulletin, 2009
A perfect number is any positive integer that is equal to the sum of its proper divisors. Several years ago, F. Luca showed that the Fibonacci and Lucas numbers contain no perfect numbers. In this paper, we alter the argument given by Luca for the nonexistence of both odd perfect Fi- bonacci and Lucas numbers, by making use of an 1888 result of C ...
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Copper ratio obtained by generalizing the Fibonacci sequence

AIP Advances
In this study, we define a new generalization of the Fibonacci sequence that gives the copper ratio, and we will call it the copper Fibonacci sequence. In addition, inspired by the copper Fibonacci definition, we also define copper Lucas sequences, and ...
Engin Özkan, Hakan Akkuş
doaj   +1 more source

Extended Wang sum and associated products. [PDF]

PLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source