English

A solution to Open Problem 3.137 by O. Furdui on multiple factorial series

Classical Analysis and ODEs 2015-08-19 v1

Abstract

In this paper we give a closed expression for a multiple factorial series, solving Open Problem 3.137 in a recent book by O. Furdui. The method is based on properties of divided differences. It applies also to similar series and certain generalizations.

Keywords

Cite

@article{arxiv.1508.04315,
  title  = {A solution to Open Problem 3.137 by O. Furdui on multiple factorial series},
  author = {Ulrich Abel},
  journal= {arXiv preprint arXiv:1508.04315},
  year   = {2015}
}