Results 91 to 100 of about 302 (175)

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

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  

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

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

Optimization of Additive Fibonacci Generators Based on Primitive Polynomials Over GF(p)

IEEE Access
This paper presents an approach to the modification of the additive Fibonacci generator by implementing it based on primitive polynomials over the field GF(p).
Pawel Sawicki, Volodymyr Maksymovych, Oleh Harasymchuk, Serhii Lupenko, Mariia Shabatura, Katarzyna Marczak, Ruslan Shevchuk, Mikolaj Karpinski   +7 more
doaj   +1 more source

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

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

Extended Wang sum and associated products. [PDF]

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

GENERALIZATION OF FIBONACCI POLYNOMIALS

Journal of Science and Arts
Fibonacci polynomials are special cases of Chebyshev polynomials and have been studied on a more advanced level by many mathematicians. Fibonacci polynomials are defined by fn+1=xfn(x)+fn-1(x), n>=1 with f0(x)=0, f1(x)=1. The Fibonacci polynomials are of great importance in the study of many subjects, such as algebra, geometry, and number theory ...
OMPRAKASH SIKHWAL, DEVANSHI SIKHWAL
openaire   +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   +2 more sources