Some identities of bivariate Pell and bivariate Pell-Lucas polynomials

Authors : Yashwant Panwar

Pages : 90-99

Doi:10.54559/jauist.1395447

View : 72 | Download : 56

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :In this paper, we obtain some identities for the bivariate Pell polynomials and bivariate Pell-Lucas polynomials. We establish some sums and connection formulas involving them. Moreover, we present its two cross two matrices representation and find some of its properties, such as the b^th power of the matrix. We finally derive the identities by using Binet’s formula, generating function, and induction method.
Keywords : Bivariate Pell polynomials, bivariate Pell Lucas polynomials, Binets formula, generating function