Results 101 to 110 of about 916 (205)

Bivariate Fibonacci and Lucas Like Polynomials [PDF]

, 2016
In this article, we study the generalized bivariate Fibonacci (GBF) and generalized bivariate Lucas (GBL) polynomials from specifying p(x,y) and q(x,y), classical bivariate Fibonacci and Lucas polynomials ((p(x,y)=x and q(x,y)=y).
Tuncez, Serife, Kocer, E. Gokcen
core  

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  

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

Extended and generalized fibonacci polynomials [PDF]

, 1995
Properties of two Fibonacci-type polynomials are considered here. One is based on an extension of the circular functions, and the other is developed from a generalization of the recurrence relation for the Fibonacci numbers. The properties considered are
Shannon, AG, Melham, RS
core  

Numerical Solutions for Nonlinear Ordinary and Fractional Duffing Equations Using Combined Fibonacci–Lucas Polynomials

Axioms
Two nonlinear Duffing equations are numerically treated in this article. The nonlinear fractional-order Duffing equations and the second-order nonlinear Duffing equations are handled.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta   +3 more
doaj   +1 more source

Binomial transform of the bivariate Fibonacci quaternion polynomials and its properties [PDF]

Notes on Number Theory and Discrete Mathematics
The primary aim of this work is to deal with binomial transforms of bivariate Fibonacci quaternion polynomial sequence. The binomial sequence of the bivariate Fibonacci quaternion polynomial is found, and then results are obtained for the recurrence ...
Faruk Kaplan, Arzu Özkoç Öztürk
doaj   +1 more source

On some properties of generalized Fibonacci and Lucas polynomials [PDF]

, 2017
In this paper we investigate some properties of generalized Fibonacci and Lucas polynomials. We give some new identities using matrices and Laplace expansion for the generalized Fibonacci and Lucas polynomials.
Sümeyra Uçar
core   +1 more source

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  

q-GENERALIZATION OF BIPERIODIC FIBONACCI AND LUCAS POLYNOMIALS [PDF]

, 2017
In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polynomials. We obtain generating function and several properties of these polynomials. We also define q-analogue of the biperiodic incomplete Fibonacci and Lucas polynomials.
TUĞLU, NAİM, Firengiz, Mirac Cetin, KIZILATEŞ, CAN   +2 more
core  

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