From Wikipedia, the free encyclopedia
Jump to: navigation, search

Hello Wikipedia! This user is a computational physicist.

This user is a member of
WikiProject Physics.
E-to-the-i-pi.svg This user is a member of WikiProject Mathematics.
math-N This user can contribute with fluent mathematical skills
Diavolo bonaiuto2.jpg This user is a WikiImp
(and may practice drive-by tagging)
Wikignome crop.gif This editor is a WikiGnome.
Sloth cartoon.svg This user is a WikiSloth.
Otters waiting to be fed.jpg This user wants a WikiOtter.
Male.svg This user is a straight male. HeteroSym-pinkblue2.svg
WikiWed.jpg This user is married.
Editor - blue ribbon - 0 pips.jpg This editor is an Apprentice Editor and is entitled to display this Service Badge.
Face-angel.svg This user tries to do the right thing. If they make a mistake, please let them know.

Theorem statement[edit]

Suppose is defined as a function of by an equation of the form

where is analytic at a point and ≠ 0. Then it is possible to invert or solve the equation for :

on a neighbourhood of , where is analytic at the point . This is also called reversion of series.

The series expansion of is: