Nested Derivatives: A simple method for computing series expansions of inverse functions
Classical Analysis and ODEs
2007-05-23 v2
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 terms of the series. We show several examples of its application in calculating the inverses of some special functions.
Cite
@article{arxiv.math/0501052,
title = {Nested Derivatives: A simple method for computing series expansions of inverse functions},
author = {Diego Dominici},
journal= {arXiv preprint arXiv:math/0501052},
year = {2007}
}
Comments
18 pages