Introduces new Mersenne-type polynomials and establishes their mathematical properties.
In this paper, we introduce the Apostol-type Mersenne–Bernoulli and Mersenne–Euler polynomials of order α. By employing the M-calculus, based on the Mersenne numbers, we establish explicit series representations, addition theorems, difference equations and convolution identities.
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Suna et al. (2026) studied this question.
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