On Multi Poly-Bernoulli Polynomials

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 $r$-Whitney numbers of the second kind.

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

References in corpus (1)

• A note on q-Euler numbers and polynomials