Results 71 to 80 of about 125,910 (166)

Polynomials that are Integer-Valued on the Fibonacci Numbers

, 2013
An integer-valued polynomial is a polynomial with rational coefficients that takes an integer value when evaluated at an integer. The binomial polynomials form a regular basis for the Z-module of all integer-valued polynomials.
Scheibelhut, Kira
core  

Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials. [PDF]

J Inequal Appl, 2018
Kim T, Kim DS, Dolgy DV, Park JW.
europepmc   +1 more source

The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach. [PDF]

Heliyon, 2022
Anđelić M, da Fonseca CM, Yılmaz F.
europepmc   +1 more source

On some properties of generalized Fibonacci and Lucas polynomials

, 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

Elliptic Solutions of Dynamical Lucas Sequences. [PDF]

Entropy (Basel), 2021
Schlosser MJ, Yoo M.
europepmc   +1 more source

Extended Wang sum and associated products. [PDF]

PLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

Generalized Pauli Fibonacci Polynomial Quaternions

Axioms
Since Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies. This paper introduces the generalized notion of Pauli Fibonacci polynomial quaternions, a definition that incorporates the ...
Bahadir Yilmaz, Nazmiye Gonul Bilgin, Yüksel Soykan   +2 more
openaire   +3 more sources

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  

Extended and generalized fibonacci polynomials

, 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  

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

J Ambient Intell Humaniz Comput, 2022
Hosny KM, Kamal ST, Darwish MM.
europepmc   +1 more source