Content deleted Content added
→Statement: I forgot to add a really important detail about the ___domain of application, sorry for the confusion Tags: Reverted Mobile edit Mobile web edit |
→Statement: Minus sign mistake Tags: Reverted Mobile edit Mobile web edit |
||
Line 16:
There is an alternative representation derived directly from this theorem that works for non-finite polynomial functions; In a paper released in 2025: "A Closed form Solution to Kepler's Equation"<ref>Santos, Patricio Asis (2025). "A Closed-Form Solution to Kepler's Equation" https://www.researchgate.net/publication/389253839_A_Closed-Form_Solution_to_Kepler's_Equation</ref> by P. Santos, the terms of the following expression are derived at the end of the third page:
<math>g(z)=\sum_{n=1}^{\infty}\frac{z^{n}}{n}\lim_{s\to n}(
For <math>f(0)=0</math>, <math>f'(0)\neq0</math>, analytic around 0, continuous on <math>[0,a)</math>, where <math>a</math> is a real constant so that <math>f(t)>0</math> for all <math>t\in(0,a]</math> (it can be moddified to work for <math>f(0)\neq0</math>).
| |||