On Multi Poly-Bernoulli Polynomials
  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. 
Roberto B. Corcino, Hassan Jolany, Cristina B. Corcino and Takao   Komatsu
math.CO