Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
arXiv:1310.5921 · doi:10.1016/j.cam.2014.05.018
Abstract
In the paper, the author elementarily unifies and generalizes eight identities involving the functions $\frac{\pm1}{e^{\pm t}-1}$ 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.
6 pages