The generalized bivariate Fibonacci and Lucas matrix polynomials
Nazmiye Yılmaz
Abstract
The main object of the present paper is to consider the matrix polynomials for the generalized bivariate Fibonacci and Lucas polynomials. Working with matrix properties for these new matrix polynomials, some identities of the generalized bivariate Fibonacci and Lucas polynomials will be researched. Finally, we build the relationships between the generalized bivariate Fibonacci and Lucas matrix polynomials
Topics & Concepts
Fibonacci polynomialsFibonacci numberBivariate analysisMathematicsLucas numberClassical orthogonal polynomialsDiscrete orthogonal polynomialsOrthogonal polynomialsLucas sequenceDifference polynomialsWilson polynomialsMatrix (chemical analysis)Pure mathematicsCombinatoricsAlgebra over a fieldStatisticsMaterials scienceComposite materialAdvanced Mathematical Theories and ApplicationsAdvanced Mathematical IdentitiesFractal and DNA sequence analysis