A probabilistic interpretation of the Volkenborn integral
Number Theory
2012-01-19 v1
Abstract
In this paper, we provide a probabilistic interpretation of the Volkenborn integral; this allows us to extend results by T. Kim et al about sums of Euler numbers to sums of Bernoulli numbers. We also obtain a probabilistic representation of the multidimensional Volkenborn integral which allows us to derive a multivariate version of Raabe's multiplication theorem for the higher-order Bernoulli and Euler polynomials.
Keywords
Cite
@article{arxiv.1201.3701,
title = {A probabilistic interpretation of the Volkenborn integral},
author = {A. Bhandari and C. Vignat},
journal= {arXiv preprint arXiv:1201.3701},
year = {2012}
}