Bernoulli and Euler numbers from divergent series
Classical Analysis and ODEs
2019-03-25 v1
Abstract
The aim of this note is to provide a simple proof of some well-known identities and recurrences relating classical Bernoulli and Euler numbers by using the Abel sum of the divergent series , a positive integers. Special attention is placed on the fact that the numerical value of these sums is determined by the linearity of the summation method involved.
Cite
@article{arxiv.1903.09228,
title = {Bernoulli and Euler numbers from divergent series},
author = {Sergio A. Carrillo},
journal= {arXiv preprint arXiv:1903.09228},
year = {2019}
}