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arxiv: math/0501052 · v2 · submitted 2005-01-04 · 🧮 math.CA

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

classification 🧮 math.CA
keywords seriesalgorithmfunctionsinverseapplicationcalculatingcomputecomputing
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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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