On Apostol-Type Mersenne-Bernoulli and Mersenne-Euler Polynomials
General Mathematics
2026-06-24 v1
Abstract
In this paper, we introduce the Apostol-type Mersenne-Bernoulli and Mersenne-Euler polynomials of order . By employing the -calculus, based on the Mersenne numbers, we establish explicit series representations, addition theorems, difference equations and convolution identities.
Cite
@article{arxiv.2606.28400,
title = {On Apostol-Type Mersenne-Bernoulli and Mersenne-Euler Polynomials},
author = {Artatrana Suna and Prasanta Kumar Ray},
journal= {arXiv preprint arXiv:2606.28400},
year = {2026}
}