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 N terms of the series. We show several examples of its application in calculating the inverses of some special functions.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203303291 |
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| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |