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

Artatrana Suna; Prasanta Kumar Ray

doi:10.1051/ita/2026017

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

综合数学 2026-06-24 v1

作者: Artatrana Suna , Prasanta Kumar Ray

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摘要

In this paper, we introduce the Apostol-type Mersenne-Bernoulli and Mersenne-Euler polynomials of order $\alpha$ . By employing the $M$ -calculus, based on the Mersenne numbers, we establish explicit series representations, addition theorems, difference equations and convolution identities.

引用

@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}
}