Results 81 to 90 of about 7,865 (225)

Generalized Fibonacci-Lucas Polynomials

International Journal of Advanced Mathematical Sciences, 2013
Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci-Lucas Polynomials are introduced and defined by the recurrence relation 
Mamta Singh, Vibhoj Parsai, Yogesh Kumar Gupta, Omprakash Sikhwal   +3 more
openaire   +2 more sources

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, Zhongbei Tian, Lin Jiang, Shaofeng Lu, Pingliang Zeng   +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, Piątek Bożena, Wituła Roman   +2 more
doaj   +1 more source

A Convergent Legendre Spectral Collocation Method for the Variable‐Order Fractional‐Functional Optimal Control Problems

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, Mohammad Hadi Noori Skandari, Kameleh Nassiri Pirbazari, Ammar Alsinai   +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 Analysis
This 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

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, Narayanan Veena, R. Srikanth, P. Dhanasekaran, Shih Pin Chen   +4 more
wiley   +1 more source

ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS

Journal of New Theory, 2015
The purpose of this article is to derive some functions which map the zeros of Fibonacci polynomials to the zeros of Lucas polynomials. Also we find some equations which are satisfied by F 0 n (x) and so L 00 n (x).
Nihal Yılmaz Özgür, Öznur Öztunç Kaymak   +1 more
doaj  

On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers

Acta Universitatis Sapientiae: Mathematica, 2020
In this note, we recall several connections between the determinant of some tridiagonal matrices and the orthogonal polynomials allowing the relation between Chebyshev polynomials of second kind and Fibonacci numbers.
da Fonseca Carlos M.
doaj   +1 more source

The binomial sums for four types of polynomials involving floor and ceiling functions

Electronic Research Archive
Several binomial sums are established for the Pell polynomials and the Pell-Lucas polynomials, as well as two types of the Chebyshev polynomials and the Fibonacci-Lucas numbers, which include two special cases proposed by Hideyuki Othsuka in 2024.
Qingjie Chai, Hanyu Wei
doaj   +1 more source

Melham's Conjecture on Odd Power Sums of Fibonacci Numbers

, 2015
Ozeki and Prodinger showed that the odd power sum of the first several consecutive Fibonacci numbers of even order is equal to a polynomial evaluated at certain Fibonacci number of odd order.
Sun, Brian Y., Xie, Matthew H. Y., Yang, Arthur L. B.   +2 more
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