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In this paper, we define new generalized k-Mersenne numbers and give aformula of generalized Mersenne polynomials and further we study theirproperties. Moreover, we define Gaussian Mersenne numbers and obtain someidentities like Binet Formula, Cassini's identity, D'Ocagne's Identity, andgenerating functions. The generalized Gaussian Mersenne numbers are describedand the relation with classical Mersenne numbers are explained. We alsointroduce a generalization of Gaussian Mersenne polynomials and establish someproperties of these polynomials.

On some new families of k-Mersenne and generalized k-Gaussian Mersenne numbers and their polynomials