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A functional equation
#3
(07/05/2010, 07:28 PM)kobi_78 Wrote: Hi,

Does anyone have an idea how to solve the following functional equation?

Thanks


Thats called "Julia equation", generally
f(F(x))=F'(x)f(x) to solve for f.

You obtain an Abel function from it, or obtain it from an Abel function via:


you can solve it at a fixed point via comparing the powerseries coefficients.
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Messages In This Thread
A functional equation - by kobi_78 - 07/05/2010, 07:28 PM
RE: A functional equation - by 73939 - 07/08/2010, 01:27 AM
RE: A functional equation - by bo198214 - 07/08/2010, 05:21 AM

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