Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
67-1
A FORMULA FOR MULTI-POLY-BERNOULLI NUMBERS OF NEGATIVE INDEX
Ken KAMANO
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2013 Volume 67 Issue 1 Pages 29-37

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Abstract

Multi-poly-Bernoulli numbers, defined by using multiple polylogarithms, are generalizations of Kaneko's poly-Bernoulli numbers. We consider multi-poly-Bernoulli numbers of negative index in particular, and give the generating function of them. As a main result, we give a formula which expresses multi-poly-Bernoullinumbers of negative index as a sum of powers.

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© 2013 Faculty of Mathematics, Kyushu University
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