Results 31 to 40 of about 642,965 (224)

p-Analogue of biperiodic Pell and Pell–Lucas polynomials [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
In this study, a binomial sum, unlike but analogous to the usual binomial sums, is expressed with a different definition and termed the p-integer sum. Based on this definition, p-analogue Pell and Pell–Lucas polynomials are established and the generating
Bahar Kuloğlu, Engin Özkan, Anthony G. Shannon   +2 more
doaj   +1 more source

On the power sum problem of Lucas polynomials and its divisible property

Open Mathematics, 2018
The main purpose of this paper is to use the mathematical induction and the properties of Lucas polynomials to study the power sum problem of Lucas polynomials. In the end, we obtain an interesting divisible property.
Xiao Wang
doaj   +1 more source

Multivariable Lucas Polynomials and Lucanomials

, 2019
17 ...
Allen, Edward E., Riley, Katherine, Weselcouch, Michael   +2 more
openaire   +4 more sources

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

Mathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud, Salah Boulaaras, Ali Allahem   +2 more
doaj   +1 more source

Trivariate Fibonacci and Lucas polynomials [PDF]

, 2018
Yüksek Lisans TeziBu çalışma beş bölümden oluşmaktadır. Birinci bölümde Tribonacci sayıları ve polinomlarının tanımları ve bazı özellikleri verilmiştir.
Kılınç, Hatice
core   +2 more sources

Complex Factorizations of the Lucas Sequences via Matrix Methods

Journal of Applied Mathematics, 2014
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
doaj   +1 more source

Numerical method for fractional Advection–Dispersion equation using shifted Vieta–Lucas polynomials

Results in Physics, 2023
In the pursuit of creating more precise and flexible mathematical models for complex physical phenomena, this study constructs a unique fractional model for the Advection–Dispersion equation.
Mohammad Partohaghighi, Mir Sajjad Hashemi, Mohammad Mirzazadeh, Sayed M. El Din   +3 more
doaj   +1 more source

On orthogonal polynomials and related discrete integrable systems [PDF]

, 2006
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core   +4 more sources

Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers

Axioms
This article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahim A. Alluhaybi, Amr Kamel Amin   +3 more
doaj   +1 more source

Chebyshev polynomials and their some interesting applications

Advances in Difference Equations, 2017
The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
doaj   +1 more source