International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 58, Pages 3699-3715
doi:10.1155/S0161171203303291
Nested derivatives: a simple method for computing series expansions of inverse functions
Diego Dominici
Department of Mathematics, State University of New York at New Paltz, New Paltz 12561-2443, NY, USA
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.