Symmetric Functions of Generalized Polynomials of Second Order

Merzouk, Hind; Boussayoud, Ali; Chelgham, Mourad

doi:10.12691/tjant-7-5-2

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Cited by 6 publications

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“…The same author in [8,9], presented another generalized Fibonacci sequence. And in [10], the authors made the generalized polynomials of second order sequences as follow:…”

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

Generating Functions of Even and Odd Gaussian Numbers and Polynomials

2021

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In this study, we introduce a new class of generating functions of odd and even Gaussian (p,q)-Fibonacci numbers, Gaussian (p,q)-Lucas numbers, Gaussian (p,q)-Pell numbers, Gaussian (p,q)-Pell Lucas numbers, Gaussian Jacobsthal numbers and Gaussian Jacobsthal Lucas numbers and we will recover the new generating functions of some Gaussian polynomials at odd and even terms. The technique used her is based on the theory of the so called symmetric functions.

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“…The same author in [8,9], presented another generalized Fibonacci sequence. And in [10], the authors made the generalized polynomials of second order sequences as follow:…”

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

Generating Functions of Even and Odd Gaussian Numbers and Polynomials

2021

Self Cite

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“…In factTribonacci numbers have been firstly defined by M. Feinberg in 1963 and then some important properties over this numbers have been created by [ 9 -5 ]. On the other hand, Tribonacci Lucas numbers have been introduced and investigated by author in [11].…”

Section: Introductionmentioning

confidence: 99%

Symmetric Functions of Binary Products of Tribonacci Lucas Numbers and Orthogonal Polynomials

2021

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Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials

Merzouk

Boussayoud

Abderrezzak

2022

Mathematica Slovaca

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In this paper, we introduce the new generating functions for the product of some numbers and 2-orthogonal polynomials by making use of the symmetrizing endomorphism operators π e2e3 π e 1 e 2 to the series ∑ n = 0 + ∞ S n ( A 3 ) e 1 n z n .

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Symmetric Functions of Generalized Polynomials of Second Order

Abstract: In this paper, we will recover the generating functions of generalized polynomials of second order. The technic used her is based on the theory of the so called symmetric functions.

Cited by 6 publications

References 0 publications

Generating Functions of Even and Odd Gaussian Numbers and Polynomials

Generating Functions of Even and Odd Gaussian Numbers and Polynomials

Symmetric Functions of Binary Products of Tribonacci Lucas Numbers and Orthogonal Polynomials

Ordinary Generating Functions of Binary Products of Third-Order Recurrence Relations and 2-Orthogonal Polynomials

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