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Re: [Axiom-math] Curious behavior of Taylor series


From: Igor Khavkine
Subject: Re: [Axiom-math] Curious behavior of Taylor series
Date: Sun, 20 Aug 2006 18:22:50 -0400

On 20 Aug 2006 23:45:38 +0200, Martin Rubey <address@hidden> wrote:
"Igor Khavkine" <address@hidden> writes:

> I've been trying to write a routine that takes some expression f(x,y), but
> possibly containing other symbolic constants, and then solves the implicit
> equation f(x,y)=0 for y as a Taylor series in x.

I think such a routine already exists - at least if f(x, y) involves only
powers and derivatives of y. Look at seriesSolve. If you need more help or
examples, ask again. If I'm wrong, tell me so :-)

Not that I could find. The only package that defines seriesSolve is
ExpressionSpaceODESolver and it complains if you give it an "ODE"
without derivatives.

Igor




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