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Student Support Forum: 'Power series in multiple variables' topicStudent Support Forum > General > Archives > "Power series in multiple variables"

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Author Comment/Response
Carbaboran
01/25/12 06:53am

An easy way to solve this problem is to replace variables {x,y,..} by {x*epsilon, y*epsilon, ..}
and make the expansion in epsilon. Afterwards set epsilon -> 1.

Example:

temp = Sqrt[1 - x^2 + y]
temp = temp /. {x -> xp*\[Epsilon], y -> yp*\[Epsilon]}
ExpandAll[Normal[Series[temp, {\[Epsilon], 0, 2}]]]
% //. {\[Epsilon] -> 1,xp->x,yp->y}

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Subject (listing for 'Power series in multiple variables')
Author Date Posted
Power series in multiple variables Eric Harley 10/11/05 11:34am
Re: Power series in multiple variables Eric Harley 10/12/05 08:25am
Re: Power series in multiple variables Eric Harley 10/14/05 09:19am
Re: Power series in multiple variables Carbaboran 01/25/12 06:53am
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