
doi: 10.1002/mma.6410
handle: 11499/37374
In this study, we have considered Gaussian Lucas numbers and given the properties of these numbers. Then, we have defined the quaternions that accept these numbers as coefficients. We have examined whether the numbers defined provide some identities for quaternions in the literature. Moreover, we have given some important properties of these numbers with the help of matrices.
quaternions, recurrence relations, Gaussian numbers, Lucas numbers, Mathematical techniques, Engineering, Gaussians, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Quaternion and other division algebras: arithmetic, zeta functions
quaternions, recurrence relations, Gaussian numbers, Lucas numbers, Mathematical techniques, Engineering, Gaussians, Fibonacci and Lucas numbers and polynomials and generalizations, Recurrences, Quaternion and other division algebras: arithmetic, zeta functions
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