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Inverting a Taylor serie

by Nishkin
Tags: inverting, serie, taylor
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Nishkin
#1
Oct26-05, 12:02 PM
P: 1
How can you invert a Taylor serie?

x=y+Ay^2+By^3+Cy^4....

to y=ax+bx^2+cx^3 ...
without the lagrange theorem... must go from x=y+Ay^2+By^3+Cy^4.... to y=ax+bx^2+cx^3 ...


Need help thanks!
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Tom Mattson
#2
Oct26-05, 01:29 PM
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If you know the function from which the Taylor series was derived, then this paper might help:

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

Basically, if you know f(x) then the method in that paper allows you to find a power series for f-1(x).


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