Some identities of bivariate Pell and bivariate Pell-Lucas polynomials

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Journal of Amasya University the Institute Sciences and Technology
Volume:4 Issue:2
Some identities of bivariate Pell and bivariate Pell-Lucas polynomials

Some identities of bivariate Pell and bivariate Pell-Lucas polynomials

Pages : 90-99

View : 76 | Download : 58

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

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