Results 71 to 80 of about 524,049 (276)
Novel Approach by Shifted Fibonacci Polynomials for Solving the Fractional Burgers Equation
Fractal and FractionalThis paper analyzes a novel use of the shifted Fibonacci polynomials (SFPs) to treat the time-fractional Burgers equation (TFBE). We first develop the fundamental formulas of these polynomials, which include their power series representation and the ...
Mohammed H. Alharbi +3 more
semanticscholar +1 more source
AIMS Mathematics, 2022 In this article, we evaluated the approximate solutions of one-dimensional variable-order space-fractional diffusion equations (sFDEs) by using a collocation method.
A. S. Mohamed
doaj +1 more source
A common generalization of Dickson polynomials, Fibonacci polynomials, and Lucas polynomials and applications [PDF]
arXiv, 2023 In this work, we define a more general family of polynomials in several variables satisfying a linear recurrence relation. Then we provide explicit formulas and determinantal expressions. Finally, we apply these results to recurrent polynomials of order $2$, we present several relations and interesting identities involving the Fibonacci polynomials of ...
arxiv
High‐resolution X‐ray scanning with a diffuse Huffman‐patterned probe to reduce radiation damage
Journal of Synchrotron Radiation, EarlyView.This paper introduces high‐resolution imaging using diffuse probes, which allow for lower energy deposition per unit area per unit time, by encoding Huffman‐like patterns onto them, enabling a tighter impulse response. The approach, demonstrated in X‐ray imaging, involves using specially fabricated masks to shape the probe and recover sharp object ...
Alaleh Aminzadeh +5 more
wiley +1 more source
Incomplete generalized Fibonacci and Lucas polynomials [PDF]
Hacettepe Journal of Mathematics and Statistics, 2015 In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas polynomials, we study recurrence relations and some properties of these ...
openaire +4 more sources
A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
wiley +1 more source
Chebyshev polynomials and their some interesting applications
Advances in Difference Equations, 2017 The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
doaj +1 more source
On the Chebyshev polynomials and some of their new identities
Advances in Difference Equations, 2020 The main purpose of this paper is, using the elementary methods and properties of the power series, to study the computational problem of the convolution sums of Chebyshev polynomials and Fibonacci polynomials and to give some new and interesting ...
Di Han, Xingxing Lv
doaj +1 more source
One level summations for powers of Fibonacci and Lucas polynomials [PDF]
arXiv, 2021 Powers of Fibonacci polynomials are expressed as single sums, improving on a double sum recently seen in the literature.
arxiv
A note on Q-matrices and higher order Fibonacci polynomials
, 2021 The results described in a recent article, relative to a representation formula for the generalized Fibonacci sequences in terms of Q-matrices are extended to the case of Fibonacci, Tribonacci and R-bonacci polynomials.
P. Ricci
semanticscholar +1 more source