Multivariate Bernoulli polynomials

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.

21page

Cited by in corpus (2)

• On bi-variate poly-Bernoulli polynomials
• Raising type twisted Pieri formulas for Jack polynomials and their applications to interpolation Jack polynomials