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

经典分析与常微分方程 2007-05-23 v2

摘要

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 NN terms of the series. We show several examples of its application in calculating the inverses of some special functions.

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引用

@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}
}

备注

18 pages