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...
| Published in: | Discussiones Mathematicae - General Algebra and Applications |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2020-12-01
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| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1335 |
| _version_ | 1852691047178567680 |
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| author | Boughaba Souhila Boussayoud Ali Saba Nabiha |
| author_facet | Boughaba Souhila Boussayoud Ali Saba Nabiha |
| author_sort | Boughaba Souhila |
| collection | DOAJ |
| container_title | Discussiones Mathematicae - General Algebra and Applications |
| 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. |
| format | Article |
| id | doaj-art-d3c929f6a8dd4792affec0bcc89c128a |
| institution | Directory of Open Access Journals |
| issn | 2084-0373 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| spelling | doaj-art-d3c929f6a8dd4792affec0bcc89c128a2025-08-19T21:24:35ZengUniversity of Zielona GóraDiscussiones 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 |
| spellingShingle | Boughaba Souhila Boussayoud Ali Saba Nabiha Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials symmetric functions generating functions bivariate complex fibonacci polynomials bivariate complex lucas polynomials primary 05e05 secondary 11b39 |
| title | 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_short | 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 |
| 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 |
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