Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
POLYLOGARITHMS AND POLY-BERNOULLI POLYNOMIALS
Abdelmejid BAYADYoshinori HAMAHATA
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2011 年 65 巻 1 号 p. 15-24

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In this paper we investigate special generalized Bernoulli polynomials that generalize classical Bernoulli polynomials and numbers. We call them poly-Bernoulli polynomials. We prove a collection of extremely important and fundamental identities satisfied by our poly-Bernoulli polynomials and numbers. These properties are of arithmetical nature.

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© 2011 Faculty of Mathematics, Kyushu University
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