Ozturk, Arzu OzkocKaplan, Faruk2021-12-012021-12-0120200352-96652406-047Xhttps://doi.org/10.22190/FUMI2001073Ohttps://hdl.handle.net/20.500.12684/10032In this work, we introduce bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion polynomials. We present generating function, Binet formula, matrix representation, binomial formulas and some basic identities for the bivariate Fibonacci and Lucas quaternion polynomial sequences. Moreover we give various kinds of sums for these quaternion polynomials.en10.22190/FUMI2001073Oinfo:eu-repo/semantics/openAccessBivariate Fibonacci quaternion polynomialsBivariate Lucas quaternion polynomialsGenerating functionBinet formulaArticle3517387WOS:000525754000006N/A