Results 121 to 130 of about 724,539 (169)

Generalized Commutative Mersenne and Mersenne–Lucas Quaternion Polynomials

Annales Mathematicae Silesianae
Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we use the Mersenne numbers and polynomials in the theory of these
Bród Dorota, Szynal-Liana Anetta, Liana Mirosław   +2 more
doaj   +1 more source

Shifted Pell–Lucas Polynomial-Based Algorithms for Fractional and Classical Rosenau–Hyman Models

Fractal and Fractional
This paper introduces two numerical algorithms for solving the fractional and classical Rosenau–Hyman equations. Certain shifted Pell–Lucas polynomials (SPLPs) are employed.
Waleed Mohamed Abd-Elhameed, Hassan M. Alshehri, Mohammed H. Alharbi, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta   +5 more
doaj   +1 more source

Some Novel Formulas of the Telephone Polynomials Including New Definite and Indefinite Integrals

Mathematics
In this article, we present new theoretical findings on specific polynomials that generalize the concept of telephone numbers, namely, Telephone polynomials (TelPs).
Omar Mazen Alqubori, Waleed Mohamed Abd-Elhameed   +1 more
doaj   +1 more source

Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials

, 2013
In this study we define and study the Gaussian Jacobsthal and Gaussian Jacobsthal Lucas polynomials. We give generating function, Binet formula, explicit formula, Q matrix, determinantal representations and partial derivation of these polynomials.
Gurel, E, Asci, M
core  

A two variable Lucas polynomials corresponding to hybrid Fibonacci polynomials [PDF]

, 2017
Fibonacci numbers, Fibonacci polynomials in one variable, namely Catalan polynomials and Jacobsthal polynomials are recently generalized by the authors to two variables in the form of hybrid Fibonacci polynomials which exhibit many interesting ...
Shashikala, P., Honnegowda, C. K., Rangarajan, R.   +2 more
core  

Mixed-type Fibonacci-Mittag-Leffler and Lucas-Mittag-Leffler polynomials: some properties [PDF]

We introduce and investigate two new families of special polynomials: the mixed-type Fibonacci-Mittag-Leffler (FML) and Lucas-Mittag-Leffler (LML) polynomials.
Ramírez, William, Kizilates, Can, Heredia Moyano, María Fernanda, Bedoya, Daniel, Quintana, Yamilet   +4 more
core   +1 more source

Representation formulas for the moments of the density of zeros of orthogonal polynomial sets

Le Matematiche, 1993
The moments of the density of zeros of orthogonal polynomial systems generated by athree-term recurrence relation are represented by Lucas polynomials of the first kind and by Bell polynomials.
Bruna Germano, Paolo Emilio Ricci
doaj  

On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations

Mathematics
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics.
Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu   +2 more
doaj   +1 more source

Monogenity of Fibonacci polynomials and Lucas polynomials

Comments are welecome!
Chen, Han, Guo, Weizhe, Hong, Haojie
openaire   +1 more source

New Results of Generalized Jacobsthal–Lucas Polynomials with Some Integral Applications

Mathematics
We study a generalized class of Jacobsthal–Lucas polynomials that depends on two parameters. First, we introduce essential formulas for these polynomials, involving their series representation, inverse formula, and moment formula. These formulas allow us
Naher Mohammed A. Alsafri, Waleed Mohamed Abd-Elhameed   +1 more
doaj   +1 more source