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

Diego Dominici
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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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Diego Dominici. 2005-01-04. Nested Derivatives: A simple method for computing series expansions of inverse functions. https://arxiv.org/abs/math/0501052

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