j. amasya univ. inst. sci. technol. Journal of Amasya University the Institute of Sciences and Technology 2717-8900 Amasya University 10.54559/jauist.1395447 Algebra and Number Theory Cebir ve Sayı Teorisi Some identities of bivariate Pell and bivariate Pell-Lucas polynomials Panwar Yashwant Government Model College, Jhabua (MP), INDIA 12 31 2023 4 2 90 99 11 24 2023 12 25 2023 Copyright © 2020, Journal of Amasya University the Institute of Sciences and Technology 2020 Journal of Amasya University the Institute of Sciences and Technology

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.

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