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- Title
GENERATING FUNCTIONS OF THE PRODUCTS OF BIVARIATE COMPLEX FIBONACCI POLYNOMIALS WITH GAUSSIAN NUMBERS AND POLYNOMIALS.
- Authors
BOUGHABA, SOUHILA; BOUSSAYOUD, ALI; SABA, NABIHA
- Abstract
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 bi- variate 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 Fi- bonacci polynomials with Gaussian Jacobsthal, Gaussian Jacobsthal Lucas polynomials and Gaussian Pell polynomials.
- Subjects
GENERATING functions; POLYNOMIALS; LUCAS numbers; IDENTITIES (Mathematics); SYMMETRIC functions
- Publication
Discussiones Mathematicae: General Algebra & Applications, 2020, Vol 40, Issue 2, p245
- ISSN
1509-9415
- Publication type
Article
- DOI
10.7151/dmgaa.1335