#9555: Series expansions at singularities don't work
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Reporter: fredrik.johansson | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone:
Component: symbolics | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by burcin):
Replying to [comment:5 kcrisman]:
> But having a command called "taylor" return things that are not Taylor
series is ... problematic. And I don't think that Maxima is recognizing
this necessarily.
{{{
>], ...)
`taylor (<expr>, <x>, <a>, <n>)' expands the expression <expr> in
a truncated Taylor or Laurent series in the variable <x> around
the point <a>, containing terms through `(<x> - <a>)^<n>'.
}}}
> nothing about Puiseux, nor do any examples.
+1
> Now, our `.series()` is not named quite that way, so I suppose it's
possible we could have that.
The `taylor()` method is cruft left over from pre-pynac symbolics. We
should depreciate it in favor of the `series()` method. It's perfectly
acceptable to give Puiseux series as a result of a call to `.series()`. I
expect this to be done in #6119, where we add an `algorithm=` option to
`.series()`. The default behavior can be to call pynac and fall back to
maxima if that returns an error.
This ticket can then be about fixing pynac/ginac to allow these series
expansions, in which case, it should be moved to the issue tracker on
bitbucket:
https://bitbucket.org/burcin/pynac/issues
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9555#comment:6>
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