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

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

2005-01-04

arxiv.org/abs/math/0501052v2

IJMMS 2003:58 (2003) 3699-3715

Mathematics

Classical Analysis and ODEs

18 pages

Scientific paper

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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