Results 111 to 120 of about 613 (205)

A Note on Stability of an Operator Linear Equation of the Second Order

Abstract and Applied Analysis, 2011
We prove some Hyers-Ulam stability results for an operator linear equation of the second order that is patterned on the difference equation, which defines the Lucas sequences (and in particular the Fibonacci numbers).
Janusz Brzdȩk, Soon-Mo Jung
doaj   +1 more source

Diophantine triples with values in the sequences of Fibonacci and Lucas numbers

Glasnik matematički, 2017
Let FL={1,2,3,4,5,7,8,11,13,18,21, … } be the set consisting of all Fibonacci and Lucas numbers with positive subscripts. We find all triples (a,b,c) of positive integers a < b < c such that ab+1, ac+1, bc+1 are all members of FL.
Luca, Florian, Munagi, Augustine O.
openaire   +3 more sources

4x4 Symmetric Toeplitz Tridiagonal Fibonacci and Lucas Matrices

, 2021
Yüksek Lisans TeziBu çalışmada, Fibonacci ve Lucas dizilerinden ve sıralı ikili elemanlara sahip 4x4 mertebeli simetrik Toeplitz üç bant matrislerin pozitif tamsayı kuvvetlerinin Fibonacci veya Lucas matrisleri olduğu gösterilerek bu matrislerin ...
Aksoy, Muaz
core  

Verbena officinalis Verbenaceae (Lamiales): a new plant model system for phyllotaxis research. [PDF]

J Plant Res, 2021
Zagórska-Marek B, Turzańska M, Chmiel K.   +2 more
europepmc   +1 more source

Periods of Leonardo Sequences and Bivariate Gaussian Leonardo Polynomials

Düzce Üniversitesi Bilim ve Teknoloji Dergisi
In this study, we investigate the periodic characteristics of Leonardo, Leonardo-Lucas, and Gaussian Leonardo sequences, presenting our findings through lemmas and theorems.
Selime Beyza Özçevik, Abdullah Dertli
doaj   +1 more source

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2

International Journal of Mathematics and Mathematical Sciences, 2009
Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
doaj   +1 more source

A combined approach to Perrin and Padovan hybrid sequences. [PDF]

Heliyon, 2021
Jafari Petroudi SH, Pirouz M, Karaca E, Yılmaz F.   +3 more
europepmc   +1 more source

DETERMINANTAL IDENTITIES FOR k LUCAS SEQUENCE

Journal of New Theory, 2016
Abstaract−In this paper, we defined new relationship between k Lucas sequences and determi- nants of their associated matrices, this approach is different and never tried in k Fibonacci sequence ...
Ashok Dnyandeo Godase, Machindra Baban Dhakne   +1 more
doaj  

The art of painting chromosome loops. [PDF]

Quant Plant Biol, 2023
Berr A, Chabouté ME.
europepmc   +1 more source

On prime powers in linear recurrence sequences. [PDF]

Ann Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source