GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, vol.18, no.5, pp.815-821, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 5
- Publication Date: 2015
- Journal Name: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.815-821
- Gazi University Affiliated: Yes
Abstract
The main object of this study is to derive various families of multilinear and multilateral generating functions for the generalized bivariate Fibonacci and Lucas polynomials. Furthermore, we discuss some critical connections between the generalized bivariate Fibonacci, Lucas polynomials and the well-known polynomials and numbers, such as, bivariate and univariate Fibonacci and Lucas polynomials, the classical Fibonacci and Lucas numbers, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas and also the first and second kind Chebyshev polynomials.