On Apostol-Type Mersenne-Bernoulli and Mersenne-Euler Polynomials
Abstract
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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