Results 101 to 110 of about 7,865 (225)

GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS

open access: yesJournal 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   +2 more
doaj  

Extended Wang sum and associated products. [PDF]

open access: yesPLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL

open access: yesJournal 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   +1 more
doaj  

Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions

open access: yesOpen 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

Computational analysis of time-fractional models in energy infrastructure applications

open access: yesAlexandria Engineering Journal, 2023
In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative.
Imtiaz Ahmad   +5 more
doaj  

Novel encryption for color images using fractional-order hyperchaotic system. [PDF]

open access: yesJ Ambient Intell Humaniz Comput, 2022
Hosny KM, Kamal ST, Darwish MM.
europepmc   +1 more source

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

open access: yesMathematical 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

On the arguments of the roots of the generalized Fibonacci polynomial [PDF]

open access: hybrid, 2023
Adel Alahmadi   +3 more
openalex   +1 more source

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