A rational triplic form for the exponential
The theory of the power series solution is applied to the Hamburger DE to derive an improper fraction triplic form, E-2(N)(x), for e(x) on the real line. E-2(N) turns out to be a simpler equivalent to the vertical sequence P-2(N) of the related Pade table P-M(N) and with comparable summation features.
triplic form exponential summation pade-type