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

@misc{citeulike:2967862, 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.}, author = {Dominici, Diego }, citeulike-article-id = {2967862}, eprint = {math/0501052}, keywords = {analysis, combinatorics, power-series}, month = {Jan}, posted-at = {2008-07-06 21:30:03}, priority = {2}, title = {Nested Derivatives: A simple method for computing series expansions of inverse functions}, url = {http://arxiv.org/abs/math/0501052}, year = {2005} }

TY - ELEC ID - citeulike:2967862 L3 - citeulike-article-id:2967862 TI - Nested Derivatives: A simple method for computing series expansions of inverse functions N2 - 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. KW - analysis KW - combinatorics KW - power-series AU - Dominici, Diego PY - 2005/Jan/04/ UR - http://arxiv.org/abs/math/0501052 ER -