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User:KlappCK

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Hello Wikipedia! This user is a computational physicist.

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: