Inverting a Taylor serie

Nishkin

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!

Tom Mattson

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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Nishkin	Inverting a Taylor serie Tweet 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!

Tom Mattson Recognitions: Gold Member Homework Help Science Advisor Staff Emeritus	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).