English

Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind

Classical Analysis and ODEs 2014-06-24 v2 Combinatorics

Abstract

In the paper, the author elementarily unifies and generalizes eight identities involving the functions ±1e±t1\frac{\pm1}{e^{\pm t}-1} and their derivatives. By one of these identities, the author establishes two explicit formulae for computing Euler polynomials and two-parameter Euler polynomials, which are a newly introduced notion, in terms of Stirling numbers of the second kind.

Keywords

Cite

@article{arxiv.1310.5921,
  title  = {Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind},
  author = {Bai-Ni Guo and Feng Qi},
  journal= {arXiv preprint arXiv:1310.5921},
  year   = {2014}
}

Comments

6 pages