SOME PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS

In this work, we have introduced bivariate Fibonacci quaternion polynomials and bivariate Lucas quaternion polynomials. We have presented generating function, Binet formula, matrix representation, binomial formulas and some basic identities for the bivariate Fibonacci and Lucas quaternion polynomial sequences. Moreover, we have given various kinds of sums for these quaternion polynomials.