Results 21 to 30 of about 454,219 (256)

Spectral Collocation Algorithm for Solving Fractional Volterra-Fredholm Integro-Differential Equations via Generalized Fibonacci Polynomials

Contemporary Mathematics, 2022
In this research article, we build and implement an efficient spectral algorithm for handling linear/nonlinear mixed Volterra-Fredholm integro-differential equations.
Emad M. Abo-Eldahab, A. S. Mohamed, Shimaa Ali   +2 more
openalex   +3 more sources

(2, k)-Distance Fibonacci Polynomials [PDF]

Symmetry, 2021
In this paper we introduce and study (2,k)-distance Fibonacci polynomials which are natural extensions of (2,k)-Fibonacci numbers. We give some properties of these polynomials—among others, a graph interpretation and matrix generators.
D. Bród, A. Włoch
semanticscholar   +3 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 Cotîrlă   +3 more
openalex   +2 more sources

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

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

Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials

Axioms
Two nonlinear Duffing equations are numerically treated in this article. The nonlinear fractional-order Duffing equations and the second-order nonlinear Duffing equations are handled.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta   +3 more
doaj   +2 more sources

Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials. [PDF]

Nat Commun
Minev ZK, Najafi K, Majumder S, Wang J, Stern A, Kim EA, Jian CM, Zhu G.   +7 more
europepmc   +2 more sources

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

On the derivatives of bivariate Fibonacci polynomials [PDF]

Notes on Number Theory and Discrete Mathematics, 2018
In this study, the new algebraic properties related to bivariate Fibonacci polynomials has been given. We present the partial derivatives of these polynomials in the form of convolution of bivariate Fibonacci polynomials. Also, we define a new recurrence relation for the r-th partial derivative sequence of bivariate Fibonacci polynomials.
KARADUMAN, Erdal, Cakmak, Tuba
openaire   +3 more sources

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