Diego Dominici, "Nested derivatives: a simple method for computing series expansions of inverse functions", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 457271, 17 pages, 2003. https://doi.org/10.1155/S0161171203303291
Nested derivatives: a simple method for computing series expansions of inverse functions
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.
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