Results 211 to 220 of about 466,283 (262)

A different approach to Gauss Fibonacci polynomials

Contributions to Discrete Mathematics
In this paper with the help of higher order Fibonacci polynomials, we introduce higher order Gauss Fibonacci polynomials that generalize the Gauss Fibonacci polynomials studied by Özkan and Taştan.
C. Kızılateş
semanticscholar   +1 more source

Some te-univalent function subfamilies linked to generalized bivariate Fibonacci polynomials

Gulf Journal of Mathematics
Our present investigation is primarily motivated by the broad and impactful applications of special polynomials in geometric function theory. In particular, the generalized bivariate Fibonacci polynomials have recently attracted attention in the study of
S. R. Swamy, Kala Venugopal, Luminiţa-Ioana Cotîrlǎ   +2 more
semanticscholar   +1 more source

On the period and the order of appearance of the sequence of Fibonacci polynomials modulo m

Journal of Discrete Mathematical Sciences and Cryptography, 2022
For a positive integer m, it is well known that the Fibonacci sequence modulo m, {Fn (mod m)}, is periodic and Fr is a multiple of m for some . The smallest possible value of r is called the order of appearance of m, denoted by r(m), in the Fibonacci ...
Kodchaphon Wanidchang, N. Kanasri
semanticscholar   +1 more source

\(d\)-Fibonacci and \(d\)-Lucas polynomials

2021
Summary: Riordan arrays give us an intuitive method of solving combinatorial problems. They also help to apprehend number patterns and to prove many theorems. In this paper, we consider the Pascal matrix, define a new generalization of Fibonacci and Lucas polynomials called \(d\)-Fibonacci and \(d\)-Lucas polynomials (respectively) and provide their ...
Sadaoui, Boualem, Krelifa, Ali
openaire   +1 more source

Shifted Vieta‐Fibonacci polynomials for the fractal‐fractional fifth‐order KdV equation

Mathematical methods in the applied sciences, 2021
In this article, the fractal‐fractional (FF) version of the fifth‐order KdV equation is introduced. The shifted Vieta‐Fibonacci (VF) polynomials are generated and adopted to establish a simple and accurate numerical method for solving this equation.
M. Heydari, Z. Avazzadeh, A. Atangana
semanticscholar   +1 more source

Fibonacci and Lucas polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1981
The Fibonacci and Lucas polynomials Fn(z) and Ln(z) are denned. These reduce to the familiar Fibonacci and Lucas numbers when z = 1. The polynomials are shown to satisfy a second order linear difference equation. Generating functions are derived, and also various simple identities, and relations with hypergeometric functions, Gegenbauer and Chebyshev ...
Doman, B. G. S., Williams, J. K.
openaire   +2 more sources

A new approach of generalized shifted Vieta-Fibonacci polynomials to solve nonlinear variable order time fractional Burgers-Huxley equations

Physica Scripta
In recent years, advancements in optimization techniques and the widespread availability of high-performance computing have made it increasingly feasible to study and develop approximation strategies for nonlinear models.
Z. Avazzadeh, H. Hassani, M. J. Ebadi, A. Eshkaftaki   +3 more
semanticscholar   +1 more source

Numerical solution of fractal‐fractional differential equations system via Vieta‐Fibonacci polynomials fractal‐fractional integral operators

International journal of numerical modelling
The main idea of this work is to present a numerical method based on Vieta‐Fibonacci polynomials (VFPs) for finding approximate solutions of fractal‐fractional (FF) pantograph differential equations and a system of differential equations.
P. Rahimkhani, Y. Ordokhani, Sedigheh Sabermahani   +2 more
semanticscholar   +1 more source

On Generalizations of Dickson k-Fibonacci Polynomials

WSEAS Transactions on Mathematics
In this study, we define a Dickson k-Fibonacci polynomial inspired by Dickson polynomials and give some terms of these polynomials. Then we present the relations between the terms of Dickson k-Fibonacci polynomials.
Engin Ozkan, Hakan Akkuş
semanticscholar   +1 more source

On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications

Communications in Algebra, 2020
We define the Gauss Fibonacci polynomials. Then we give a formula for the Gauss Fibonacci polynomials by using the Fibonacci polynomials. The Gauss Lucas polynomials are described and the relation with Lucas polynomials are explained.
E. Özkan, Merve Taştan
semanticscholar   +1 more source