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Inverting a Taylor serie 
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#1
Oct2605, 12:02 PM

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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! 


#2
Oct2605, 01:29 PM

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P: 5,534

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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