Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the generating functions of the products of bivariate co...

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Main Authors:	Boughaba Souhila, Boussayoud Ali, Saba Nabiha
Format:	Article
Language:	English
Published:	Sciendo 2020-12-01
Series:	Discussiones Mathematicae - General Algebra and Applications
Subjects:	symmetric functions generating functions bivariate complex fibonacci polynomials bivariate complex lucas polynomials primary 05e05 secondary 11b39
Online Access:	https://doi.org/10.7151/dmgaa.1335

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spelling	doaj-d3c929f6a8dd4792affec0bcc89c128a2021-09-05T17:19:43ZengSciendoDiscussiones Mathematicae - General Algebra and Applications2084-03732020-12-0140224526510.7151/dmgaa.1335dmgaa.1335Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and PolynomialsBoughaba Souhila0Boussayoud Ali1Saba Nabiha2LMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, AlgeriaLMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, AlgeriaLMAM Laboratory and Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, AlgeriaIn this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Fibonacci, Gaussian Lucas and Gaussian Jacobsthal numbers, Gaussian Pell numbers, Gaussian Pell Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Jacobsthal, Gaussian Jacobsthal Lucas polynomials and Gaussian Pell polynomials.https://doi.org/10.7151/dmgaa.1335symmetric functionsgenerating functionsbivariate complex fibonacci polynomialsbivariate complex lucas polynomialsprimary 05e05secondary 11b39
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Boughaba Souhila Boussayoud Ali Saba Nabiha
spellingShingle	Boughaba Souhila Boussayoud Ali Saba Nabiha Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials Discussiones Mathematicae - General Algebra and Applications symmetric functions generating functions bivariate complex fibonacci polynomials bivariate complex lucas polynomials primary 05e05 secondary 11b39
author_facet	Boughaba Souhila Boussayoud Ali Saba Nabiha
author_sort	Boughaba Souhila
title	Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials
title_short	Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials
title_full	Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials
title_fullStr	Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials
title_full_unstemmed	Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials
title_sort	generating functions of the products of bivariate complex fibonacci polynomials with gaussian numbers and polynomials
publisher	Sciendo
series	Discussiones Mathematicae - General Algebra and Applications
issn	2084-0373
publishDate	2020-12-01
description	In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Fibonacci, Gaussian Lucas and Gaussian Jacobsthal numbers, Gaussian Pell numbers, Gaussian Pell Lucas numbers. By making use of the operator defined in this paper, we give some new generating functions of the products of bivariate complex Fibonacci polynomials with Gaussian Jacobsthal, Gaussian Jacobsthal Lucas polynomials and Gaussian Pell polynomials.
topic	symmetric functions generating functions bivariate complex fibonacci polynomials bivariate complex lucas polynomials primary 05e05 secondary 11b39
url	https://doi.org/10.7151/dmgaa.1335
work_keys_str_mv	AT boughabasouhila generatingfunctionsoftheproductsofbivariatecomplexfibonaccipolynomialswithgaussiannumbersandpolynomials AT boussayoudali generatingfunctionsoftheproductsofbivariatecomplexfibonaccipolynomialswithgaussiannumbersandpolynomials AT sabanabiha generatingfunctionsoftheproductsofbivariatecomplexfibonaccipolynomialswithgaussiannumbersandpolynomials
_version_	1717786593715027968

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

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