Multivariate Bernoulli polynomials
Classical Analysis and ODEs
2019-11-20 v2 Number Theory
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.
Cite
@article{arxiv.1905.01914,
title = {Multivariate Bernoulli polynomials},
author = {Genki Shibukawa},
journal= {arXiv preprint arXiv:1905.01914},
year = {2019}
}
Comments
21page