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arXiv · 1905.01914

Multivariate Bernoulli polynomials

Genki Shibukawa
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Abstract

We introduce a multivariate analogue of Bernoulli polynomials and give their fundamental properties: difference and differential relations, symmetry, explicit formula, inversion formula, multiplication theorem, and binomial type formula. Further, we consider a multivariate analogue of the multiple Bernoulli polynomials and give their fundamental properties.

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Genki Shibukawa. 2019-05-06. Multivariate Bernoulli polynomials. https://arxiv.org/abs/1905.01914

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