Results 101 to 110 of about 524,049 (276)
Bi-periodic Fibonacci matrix polynomial and its binomial transforms [PDF]
arXiv, 2017 In this paper, we consider the matrix polynomial obtained by using bi-periodic Fibonacci matrix polynomial. Then, we give some properties and binomial transforms of the new matrix polynomials.
arxiv
Radical bound for Zaremba's conjecture
Bulletin of the London Mathematical Society, Volume 56, Issue 8, Page 2615-2624, August 2024.Abstract Famous Zaremba's conjecture (1971) states that for each positive integer q⩾2$q\geqslant 2$, there exists a positive integer 1⩽a
Nikita Shulga
wiley +1 more source
On tridiagonal matrices associated with Jordan blocks
Acta Universitatis Sapientiae: Mathematica, 2022 This paper aims to show how some standard general results can be used to uncover the spectral theory of tridiagonal and related matrices more elegantly and simply than existing approaches.
da Fonseca Carlos M., Kowalenko Victor
doaj +1 more source
An improved energy‐efficient driving strategy for routes with various gradients and speed limits
IET Intelligent Transport Systems, Volume 18, Issue 5, Page 949-963, May 2024.This paper analysed the energy distribution of driving strategies considering various route parameters and proposed a novel driving strategy that can minimise the energy consumption of a train on different routes. Abstract With the increasing concerns about railway energy efficiency, two typical driving strategies have been used in actual train ...
Xiao Liu +4 more
wiley +1 more source
Binomials transformation formulae for scaled Fibonacci numbers
Open Mathematics, 2017 The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
doaj +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, a numerical method is applied to approximate the solution of variable‐order fractional‐functional optimal control problems. The variable‐order fractional derivative is described in the type III Caputo sense. The technique of approximating the optimal solution of the problem using Lagrange interpolating polynomials is employed by ...
Zahra Pirouzeh +3 more
wiley +1 more source
Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial [PDF]
Sahand Communications in Mathematical AnalysisThis article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials.
Rumeysa Öztürk, İbrahim Aktaş
doaj +1 more source
More Fibonacci-Bernoulli relations with and without balancing polynomials [PDF]
arXiv, 2020 We continue our study on relationships between Bernoulli polynomials and balancing (Lucas-balancing) polynomials. From these polynomial relations, we deduce new combinatorial identities with Fibonacci (Lucas) and Bernoulli numbers. Moreover, we prove a special identity involving Bernoulli polynomials and Fibonacci numbers in arithmetic progression ...
arxiv
An Extensive Review of the Literature Using the Diophantine Equations to Study Fuzzy Set Theory
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.Every field in mathematics has made significant progress in research with fuzzy sets. Numerous application fields were discovered in both empirical and theoretical investigations, ranging from information technology to medical technology, from the natural sciences to the physical sciences, and from technical education to fine arts education.
K. M. Abirami +4 more
wiley +1 more source
A different approach to Gauss Fibonacci polynomials [PDF]
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.
Kızılateş, Can
core +1 more source