On Mersenne-Bernoulli and Mersenne-Euler polynomials
Abstract
The sequence of Mersenne numbers \Mn\n≥ 0 is defined as Mn = 2n-1. In this study we introduce the Mersenne-Bernoulli and Mersenne-Euler polynomials. Using the generating functions and M-calculus we find some identities associated with them. Moreover, we define the corresponding matrices with these polynomials, factorise them and find their inverses.
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