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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| 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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| _version_ | 1832565748147421184 |
|---|---|
| author | Diego Dominici |
| author_facet | Diego Dominici |
| author_sort | Diego Dominici |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d9de957ea1964415b1c3d7a6818f1cb9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d9de957ea1964415b1c3d7a6818f1cb92025-02-03T01:06:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003583699371510.1155/S0161171203303291Nested derivatives: a simple method for computing series expansions of inverse functionsDiego Dominici0Department of Mathematics, State University of New York at New Paltz, New Paltz 12561–2443, NY, USAWe 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.http://dx.doi.org/10.1155/S0161171203303291 |
| spellingShingle | Diego Dominici Nested derivatives: a simple method for computing series expansions of inverse functions International Journal of Mathematics and Mathematical Sciences |
| title | Nested derivatives: a simple method for computing series expansions of inverse functions |
| title_full | Nested derivatives: a simple method for computing series expansions of inverse functions |
| title_fullStr | Nested derivatives: a simple method for computing series expansions of inverse functions |
| title_full_unstemmed | Nested derivatives: a simple method for computing series expansions of inverse functions |
| title_short | Nested derivatives: a simple method for computing series expansions of inverse functions |
| title_sort | nested derivatives a simple method for computing series expansions of inverse functions |
| url | http://dx.doi.org/10.1155/S0161171203303291 |
| work_keys_str_mv | AT diegodominici nestedderivativesasimplemethodforcomputingseriesexpansionsofinversefunctions |