Results 31 to 40 of about 524,049 (276)

Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers [PDF]

Mathematics, 2018
The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our
Yuankui Ma, Wenpeng Zhang
doaj   +2 more sources

Two Families of Bi-Univalent Functions Associating the (p, q)-Derivative with Generalized Bivariate Fibonacci Polynomials

Mathematics
Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+∑j=2∞djζj, which are bi-univalent in the disc {ζ∈C:|ζ|
Sondekola Rudra Swamy, B. A. Frasin, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ   +3 more
openalex   +2 more sources

Coding theory for h(x)-Fibonacci polynomials

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
The amount of information transmitted over the internet network has dramatically increased with the prevailing of internet use. As a result of this increase, the algorithms used in data encryption methods have gained importance.
Öznur Öztunç Kaymak
openalex   +3 more sources

New expressions for certain polynomials combining Fibonacci and Lucas polynomials

AIMS Mathematics
We establish a new sequence of polynomials that combines the Fibonacci and Lucas polynomials. We will refer to these polynomials as merged Fibonacci-Lucas polynomials (MFLPs).
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori   +1 more
doaj   +2 more sources

The Fibonacci polynomials solution for Abel’s integral equation of second kind [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2020
We suggest a convenient method based on the Fibonacci polynomials and the collocation points for solving approximately the Abel’s integral equation of second kind.
H. Deilami Azodi
doaj   +2 more sources

Improving a constructive heuristic for the general routing problem

Networks, Volume 81, Issue 1, Page 93-106, January 2023., 2023
Abstract The general routing problem (GRP) is a fundamental 𝒩𝒫‐hard vehicle routing problem, first defined by Orloff in 1974. It contains as special cases the Chinese postman problem, the rural postman problem, the graphical TSP, and the Steiner TSP. We examine in detail a known constructive heuristic for the GRP, due to Christofides and others.
Burak Boyacı, Thu Huong Dang, Adam N. Letchford   +2 more
wiley   +1 more source

A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials [PDF]

, 2023
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. The hybrinomials are polynomials which generalize hybrid numbers. In this paper, we introduce and study the distance Fibonacci hybrinomials, i.e.
Bród, Dorota, Szynal-Liana, Anetta
core   +2 more sources

Hyper-Fibonacci and Hyper-Lucas Polynomials [PDF]

, 2023
In this paper, hyper-Fibonacci and hyper-Lucas polynomials are defined and some of their algebraic and combinatorial properties such as the recurrence relations, summation formulas, and generating functions are presented.
Mersin, Efruz Özlem
core   +1 more source

On Generalized Bivariate (p,q)-Bernoulli-Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli-Lucas Polynomials

Symmetry, 2023
Many properties of special polynomials, such as recurrence relations, sum formulas, and symmetric properties, have been studied in the literature with the help of generating functions and their functional equations.
Hao Guan, W. Khan, Can Kızılateş
semanticscholar   +1 more source

Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives

Notes on Number Theory and Discrete Mathematics, 2023
In this paper, we will derive the explicit formulae for Chebyshev polynomials of the third and fourth kind with odd and even indices using the combinatorial method. Similar results are also deduced for their r-th derivatives.
J. Kishore, V. Verma
semanticscholar   +1 more source