Results 101 to 110 of about 4,031 (226)

On Doubled and Quadrupled Fibonacci Type Sequences

open access: yesAnnales Mathematicae Silesianae
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma   +3 more
doaj   +1 more source

Psychoacoustic Properties of Fibonacci Sequences

open access: yesActa Polytechnica, 2008
1202, Fibonacci set up one of the most interesting sequences in number theory. This sequence can be represented by so-called Fibonacci Numbers, and by a binary sequence of zeros and ones.
J. Sokoll, S. Fingerhuth
doaj  

Faber polynomial coefficient inequalities for bi-Bazilevič functions associated with the Fibonacci-number series and the square-root functions

open access: yesJournal of Inequalities and Applications
Two new subclasses of the class of bi-Bazilevič functions, which are related to the Fibonacci-number series and the square-root functions, are introduced and studied in this article.
H. M. Srivastava   +5 more
doaj   +1 more source

On The Generalized Gaussian Fibonacci Numbers.

open access: yesArs Comb., 2017
Many authors define certain generalizations of the usual Fibonacci, Pell and Lucas numbers by matrix methods and then obtain the Binet formulas and combinatorial representations of the generalizations of these number sequence. In this article firstly we define and study the generalized Gaussian Fibonacci numbers and then find the matrix representation ...
Lee, G.Y., Aşçı, Mustafa
openaire   +4 more sources

Various Properties of the Fibonacci Number Sequence

open access: yes, 2015
The Fibonacci number sequence is famous for its connection to the Golden Ratio and its appearance within natural objects. However, there do exist Fibonacci-like sequences that share the same recursive definition as the Fibonacci sequence without ...
Gibson, Meghann
core  

Fibonacci Random Number Generator using Lehmer’s Algorithm

open access: yes, 2013
The uniqueness of Fibonacci sequence is been discussed with particular emphasis on its application to random number generation. The Lehmer’s algorithm was employed using fibonacci prime. For multiplier , initial seed, modulus and multiplier, initial seed,
H. K, 1Oduwole,   +3 more
core  

Momentum autocorrelation function of Fibonacci chains with finite number oscillators

open access: yes, 2012
A Fibonacci chain is composed of oscillators with two different masses and its total (even) number of oscillators N is associated with Fibonacci numbers.
M.B. Yu
core   +1 more source

Generalized Pauli Fibonacci Polynomial Quaternions

open access: yes
Since Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies.
Yüksel Soykan   +2 more
core   +1 more source

A partial recurrence Fibonacci link

open access: yes
The purpose of this note is to develop a conjecture for a Fibonacci number generating function in terms of the elements of a second-order two parameter partial recurrence relation which arose in an operations research problem on Poisson distributed lead ...
ÖZKAN, ENGİN
core   +1 more source

Arithmetic aspects of the Fibonacci sequence

open access: yes, 2022
This research was elaborated with the objective of using arithmetic means to study and prove properties of the Fibonacci sequence, properties that were described along the time by mathematicians of the whole world.
Melgueiro, Francisco Breno de Souza
core  

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