Open Access
March 2012 Multiple polylogarithms and multi-poly-Bernoulli polynomials
Abdelmejid Bayad, Yoshinori Hamahata
Funct. Approx. Comment. Math. 46(1): 45-61 (March 2012). DOI: 10.7169/facm/2012.46.1.4

Abstract

In this paper we introduce special generalized Bernoulli polynomials which generalize poly-Bernoulli polynomials and numbers. We call them multi-poly-Bernoulli polynomials and numbers. We prove a collection of important and fundamental identities satisfied by our multi-poly-Bernoulli polynomials and numbers.

Citation

Download Citation

Abdelmejid Bayad. Yoshinori Hamahata. "Multiple polylogarithms and multi-poly-Bernoulli polynomials." Funct. Approx. Comment. Math. 46 (1) 45 - 61, March 2012. https://doi.org/10.7169/facm/2012.46.1.4

Information

Published: March 2012
First available in Project Euclid: 30 March 2012

zbMATH: 1333.11015
MathSciNet: MR2951728
Digital Object Identifier: 10.7169/facm/2012.46.1.4

Subjects:
Primary: 11B68
Secondary: 11G55 , 11M32

Keywords: multiple polylogarithms , multi-poly-Bernoulli numbers and polynomials , zeta function

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.46 • No. 1 • March 2012
Back to Top