#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 kcrisman):

 Well, you can certainly implement Puiseux series.  See #4618, where this
 is already requested.

 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.

 Now, our `.series()` is not named quite that way, so I suppose it's
 possible we could have that.  I still think it might be a little
 confusing, so I would at the very least recommend that implementing P.
 series be at #4618 and then adding a keyword or something (even default,
 but maybe so that it could be disabled) here for the `.series()` method
 would be what we would do here.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9555#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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