GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS
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]
Reynolds R, Stauffer A.
europepmc +1 more source
VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL
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
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
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]
Hosny KM, Kamal ST, Darwish MM.
europepmc +1 more source
Applications of the nonlinear Klein/Sinh-Gordon equations in modern physics: a numerical study
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
Diophantine equations in separated variables and polynomial power sums. [PDF]
Fuchs C, Heintze S.
europepmc +1 more source
Physical Unclonable Function Based on the Internal State Transitions of a Fibonacci Ring Oscillator. [PDF]
Matuszewski Ł+3 more
europepmc +1 more source
On the arguments of the roots of the generalized Fibonacci polynomial [PDF]
Adel Alahmadi+3 more
openalex +1 more source