English

On Multi Poly-Bernoulli Polynomials

Combinatorics 2016-07-14 v1

Abstract

In this paper, we define multi poly-Bernoulli polynomials using multiple polylogarithm and derive some properties parallel to those of poly-Bernoulli polynomials. Furthermore, an explicit formula for certain Hurwitz-Lerch type multi poly-Bernoulli polynomials is established using the rr-Whitney numbers of the second kind.

Keywords

Cite

@article{arxiv.1607.03746,
  title  = {On Multi Poly-Bernoulli Polynomials},
  author = {Roberto B. Corcino and Hassan Jolany and Cristina B. Corcino and Takao Komatsu},
  journal= {arXiv preprint arXiv:1607.03746},
  year   = {2016}
}

Comments

15 pages. arXiv admin note: substantial text overlap with arXiv:1512.05293

R2 v1 2026-06-22T14:53:33.056Z