Results 1 to 10 of about 10,192,155 (339)

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Universal Journal of Mathematics and Applications, 2023
In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers.
Emrah Polatlı
doaj   +4 more sources

Diophantine equations with Lucas and Fibonacci number coefficients [PDF]

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
doaj   +3 more sources

ALTERED NUMBERS OF LUCAS NUMBER SQUARED

Journal of Scientific Reports-A, 2023
Considering the properties of the Fibonacci and Lucas numbers, the altered numbers obtained by adding or subtracting the 1,9 values from the square of the nth Lucas numbers form the Fibonacci subsequences.
Fikri Köken, Emre KANKAL
semanticscholar   +6 more sources

Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this work, the general terms of almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers.
Ahmet Tekcan, Esra Zeynep Türkmen
doaj   +2 more sources

Transmission of Time and Position Variable Cryptology in Fibonacci and Lucas Number Series with Music

Journal of Mathematical Sciences and Modelling, 2021
Since people existed, they have prioritized confidentiality in information sharing and communication. Although there are independent studies on encryption and music in literature, no study is seen on encryption methods that are created by using the ...
Firdevs Nur Algül, Daniel Tavit, Cemil Karaçam   +2 more
doaj   +3 more sources

Initial number of Lucas’ type series for the generalized Fibonacci sequence

Filomat, 2021
Initial numbers for Lucas? type series have so far been established only for Fibonacci (2,1) and Tribonacci (3,1,3) sequences. Characteristics of stated series is their asymptotic relation with the exponent of the series constant.
Siniša Crvenković, Ilija Tanackov, Nebojša Ralević, Ivan Pavkov   +3 more
openalex   +3 more sources

A note on Fibonacci and Lucas number of domination in path [PDF]

Electronic Journal of Graph Theory and Applications, 2018
Let G = ( V ( G ), E ( G )) be a path of order n ≥ 1 . Let f m ( G ) be a path with m ≥ 0 independent dominating vertices which follows a Fibonacci string of binary numbers where 1 is the dominating vertex. A set F ( G ) contains all possible f m ( G ) ,
Leomarich F. Casinillo
openalex   +2 more sources

A new approach to Fibonacci Tessarines with Fibonacci and Lucas number components

Adıyaman University Journal of Science, 2021
In this ...
Faik Babadağ, Merve USLU
openalex   +3 more sources

Construction of dual-generalized complex Fibonacci and Lucas quaternions

Karpatsʹkì Matematičnì Publìkacìï, 2022
The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
doaj   +2 more sources

Multivariate Lucas polynomials and ideal classes in quadratic number fields [PDF]

Turkish Journal of Mathematics, 2018
In this work, by using Pauli matrices, we introduce four families of polynomials indexed over the positive integers. These polynomials have rational or imaginary rational coefficients.
Ayberk Zeytin
openalex   +2 more sources