Talk:Asymptotic expansion
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For an asymptotic scale, I also know the definition of an (arbitrary) family of functions S={fm} such that
Then this induces an evident ordering on the set of indices, and asymptotic expansions are defined in the same way, as finite sums on m≥ m' , such that the difference is negligible w.r.t. all m<m' .
Without being too general, we should allow at least for negative indices, e.g. for Laurent series, but maybe there is really a need for an indexing set other than N, in order to be able to develop on the scale xa(log x)b. for example. — MFH: Talk 14:00, 24 May 2005 (UTC)
Yes. There is quite a big subject - orders of infinity. Charles Matthews 11:38, 25 May 2005 (UTC)
[edit] the definition
I think that
is unnecessarily limiting. I think this is enough:
If you agree, pls change it. --Zero 14:58, 22 August 2005 (UTC)