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Nested derivatives: a simple method for computing series expansions of inverse functions

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  • Diego Dominici

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.

Suggested Citation

  • Diego Dominici, 2003. "Nested derivatives: a simple method for computing series expansions of inverse functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:457271
    DOI: 10.1155/S0161171203303291
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    Cited by:

    1. Joost Berkhout & Bernd Heidergott & Jennifer Sommer & Hans Daduna, 2019. "Robustness analysis of generalized Jackson network," Computational Management Science, Springer, vol. 16(4), pages 697-714, October.

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