Nested Derivatives: A simple method for computing series expansions of inverse functions

2005/01/04 by Diego Dominici
Mathematics · #math.CA #msc:30B10 #msc:30D10 #msc:33E20

paper · pdf

published as IJMMS 2003:58 (2003) 3699-3715 · 18 pages

arxiv created 2005/01/04 · arxiv updated 2009/12/01

Abstract

We give an algorithm to compute the series expansion for the inverse of a given function. The algorithm is extremely easy to implement and gives the first N terms of the series. We show several examples of its application in calculating the inverses of some special functions.

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