Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials

In this paper, we introduce a symmetric function in order to derive a new generating functions of bivariate Pell Lucas polynomials. We define complete homogeneous symmetric functions and give generating functions for Gauss Fibonacci polynomials, Gauss Lucas polynomials, bivariate Fibonacci polynomia...

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Main Authors: Nabiha Saba, Ali Boussayoud
Format: Article
Language:English
Published: Ptolemy Scientific Research Press 2020-05-01
Series:Open Journal of Mathematical Sciences
Subjects:
Online Access:https://pisrt.org/psr-press/journals/oms-vol-4-2020/complete-homogeneous-symmetric-functions-of-gauss-fibonacci-polynomials-and-bivariate-pell-polynomials/
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spelling doaj-22c43f9eafe14a4b96fa21d29493d5842021-01-09T14:18:54ZengPtolemy Scientific Research PressOpen Journal of Mathematical Sciences2616-49062523-02122020-05-014117918510.30538/oms2020.0108Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomialsNabiha Saba0Ali Boussayoud1LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria.In this paper, we introduce a symmetric function in order to derive a new generating functions of bivariate Pell Lucas polynomials. We define complete homogeneous symmetric functions and give generating functions for Gauss Fibonacci polynomials, Gauss Lucas polynomials, bivariate Fibonacci polynomials, bivariate Lucas polynomials, bivariate Jacobsthal polynomials and bivariate Jacobsthal Lucas polynomials.https://pisrt.org/psr-press/journals/oms-vol-4-2020/complete-homogeneous-symmetric-functions-of-gauss-fibonacci-polynomials-and-bivariate-pell-polynomials/symmetric functionsgenerating functionsgauss fibonacci polynomialsbivariate pell polynomials
collection DOAJ
language English
format Article
sources DOAJ
author Nabiha Saba
Ali Boussayoud
spellingShingle Nabiha Saba
Ali Boussayoud
Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
Open Journal of Mathematical Sciences
symmetric functions
generating functions
gauss fibonacci polynomials
bivariate pell polynomials
author_facet Nabiha Saba
Ali Boussayoud
author_sort Nabiha Saba
title Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
title_short Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
title_full Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
title_fullStr Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
title_full_unstemmed Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
title_sort complete homogeneous symmetric functions of gauss fibonacci polynomials and bivariate pell polynomials
publisher Ptolemy Scientific Research Press
series Open Journal of Mathematical Sciences
issn 2616-4906
2523-0212
publishDate 2020-05-01
description In this paper, we introduce a symmetric function in order to derive a new generating functions of bivariate Pell Lucas polynomials. We define complete homogeneous symmetric functions and give generating functions for Gauss Fibonacci polynomials, Gauss Lucas polynomials, bivariate Fibonacci polynomials, bivariate Lucas polynomials, bivariate Jacobsthal polynomials and bivariate Jacobsthal Lucas polynomials.
topic symmetric functions
generating functions
gauss fibonacci polynomials
bivariate pell polynomials
url https://pisrt.org/psr-press/journals/oms-vol-4-2020/complete-homogeneous-symmetric-functions-of-gauss-fibonacci-polynomials-and-bivariate-pell-polynomials/
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