Sommation effective d'une somme de Borel par s\'{e}ries de factorielles
Complex Variables
2007-05-23 v1
Abstract
We consider the effective resummation of a Borel sum by its associated factorial series expansion. Our approach provides concrete estimates for the remainder term when truncating this factorial series. We then generalize a theorem of Nevanlinna which gives us the natural framework to extend the factorial series method for Borel-resummable fractional power series expansions.
Cite
@article{arxiv.math/0602237,
title = {Sommation effective d'une somme de Borel par s\'{e}ries de factorielles},
author = {Eric Delabaere and Jean-Marc Rasoamanana},
journal= {arXiv preprint arXiv:math/0602237},
year = {2007}
}