Function: eulerpol
Section: combinatorics
C-Name: eulerpol
Prototype: LDn
Help: eulerpol(n,{v='x}): Euler polynomial E_n, in variable v.
Doc: \idx{Euler polynomial} $E_{n}$ in variable $v$ defined by
 $$
  \sum_{n=0}^{\infty} E_{n}(x)\dfrac{T^{n}}{n!} = \dfrac{2e^{xT}}{e^{T}+1}.
 $$
 \bprog
 ? eulerpol(1)
 %1 = x - 1/2
 ? eulerpol(3)
 %2 = x^3 - 3/2*x^2 + 1/4
 @eprog
