Results 101 to 110 of about 454,219 (256)

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

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

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  

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

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

On the finite reciprocal sums of Fibonacci and Lucas polynomials

AIMS Mathematics, 2019
In this note, we consider the finite reciprocal sums of Fibonacci and Lucas polynomials and derive some identities involving these sums.
Utkal Keshari Dutta, Prasanta Kumar Ray
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

A numerical method to solve fractional Fredholm-Volterra integro-differential equations

Alexandria Engineering Journal, 2023
The Goolden ratio is famous for the predictability it provides both in the microscopic world as well as in the dynamics of macroscopic structures of the universe. The extension of the Fibonacci series to the Fibonacci polynomials gives us the opportunity
Antonela Toma, Octavian Postavaru
doaj  

Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The aim of this study is presentan effective and correct technique for solving differential equations ofLane-Emden type as initial value problems. In this work, a numerical method namedas the Fibonacci polynomial approximation method, for the approximate
Musa Çakmak
doaj   +1 more source