Complete homogeneous symmetric functions of Gauss Fibonacci polynomials and bivariate Pell polynomials
Nabiha Saba, Ali Boussayoud
Abstract
In this paper, we introduce a symmetric function in order to derive a new generating functions of bivariate Pell Lucas polynomials. We define complete homogeneous symmetric functions and give generating functions for Gauss Fibonacci polynomials, Gauss Lucas polynomials, bivariate Fibonacci polynomials, bivariate Lucas polynomials, bivariate \nJacobsthal polynomials and bivariate Jacobsthal Lucas polynomials.
Topics & Concepts
Fibonacci polynomialsBivariate analysisMathematicsHomogeneousFibonacci numberGaussDifference polynomialsClassical orthogonal polynomialsOrthogonal polynomialsPure mathematicsDiscrete orthogonal polynomialsGegenbauer polynomialsCombinatoricsPhysicsStatisticsQuantum mechanicsAdvanced Mathematical Theories and ApplicationsAdvanced Mathematical IdentitiesGraph theory and applications