Results 111 to 120 of about 454,219 (256)

A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]

Eur Phys J Plus, 2023
Vivek, Kumar M, Mishra SN.
europepmc   +1 more source

Generalizations of the Fibonacci and Lucas polynomials [PDF]

Filomat, 2009
In this note we consider two sequences of polynomials, which are denoted by {Un(k),m} and {Vn(k),m}, where k, m, n are nonnegative integers, and m ? 2. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials. For example, if m = 2, then we obtain exactly the Fibonacci and Lucas polynomials. If m = 3, then polynomials
openaire   +2 more sources

Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods. [PDF]

Heliyon, 2023
Izadi M, Singh J, Noeiaghdam S.
europepmc   +1 more source

Cube Polynomial of Fibonacci and Lucas Cubes [PDF]

, 2011
Sandi Klavžar, Michel Mollard
openalex   +1 more source

Applications of the nonlinear Klein/Sinh-Gordon equations in modern physics: a numerical study

Mathematical Modelling and Control
In this article, a hybrid numerical scheme based on Lucas and Fibonacci polynomials in combination with Störmer's method for the solution of Klein/Sinh-Gordon equations is proposed.
Ihteram Ali, Imtiaz Ahmad
doaj   +1 more source

Combined Pseudo-Random Sequence Generator for Cybersecurity. [PDF]

Sensors (Basel), 2022
Maksymovych V, Shabatura M, Harasymchuk O, Shevchuk R, Sawicki P, Zajac T.   +5 more
europepmc   +1 more source

Derivations and Identitites for Fibonacci and Lucas Polynomials

The Fibonacci Quarterly, 2013
We introduce the notion of Fibonacci and Lucas derivations of the polynomial algebras and prove that any element of kernel of the derivations defines a polynomial identity for the Fibonacci and Lucas polynomials. Also, we prove that any polynomial identity for Appel polynomial yields a polynomial identity for the Fibonacci and Lucas polynomials and ...
openaire   +2 more sources

VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL

Journal of New Theory, 2017
Abstaract−In this paper we introduce a new generalization of Fibonacci polynomial and vectors of length d are defined for these Polynomials.
Ashok Dnyandeo Godase, Machindra Baban Dhakne   +1 more
doaj  

GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

Journal of Amasya University the Institute of Sciences and Technology, 2020
In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari, V. K. Gupta, Yashwant Panwar   +2 more
doaj  

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

Open Mathematics, 2017
A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Prodinger Helmut
doaj   +1 more source