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arxiv: 1607.03746 · v1 · pith:YEEKXWELnew · submitted 2016-07-13 · 🧮 math.CO

On Multi Poly-Bernoulli Polynomials

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keywords poly-bernoullipolynomialsmulticertaindefinederiveestablishedexplicit
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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.

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