On Multi Poly-Bernoulli Polynomials

2016/07/13 by Corcino, Roberto B., Jolany, Hassan, Corcino, Cristina B. +1
#05A15 #11B68 #11B73 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.03746

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.

Related

• A Note on Degenerate Multi-poly-Bernoulli numbers and polynomials
• Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
• Multiparameter poly-Cauchy and poly-Bernoulli numbers and polynomials
• A note on poly-Bernoulli numbers and polynomials of the second kind
• Relations between Multi-Poly-Bernoulli numbers and Poly-Bernoulli numbers of negative index