A note on poly-Bernoulli numbers and polynomials of the second kind
  In this paper, we consider the poly-Bernoulli numbers and polynomials of the second kind and presents new and explicit formulae for calculating the poly-Bernoulli numbers of the second kind and the Stirling numbers of the second kind. 
Taekyun Kim, Sang-Hun Lee, Jongjin Seo
math.NT