#18393: make Expression.series return an element of SR[[]]
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       Reporter:  rws       |        Owner:
           Type:            |       Status:  positive_review
  enhancement               |    Milestone:  sage-duplicate/invalid/wontfix
       Priority:  major     |   Resolution:
      Component:  calculus  |    Merged in:
       Keywords:            |    Reviewers:
        Authors:            |  Work issues:
Report Upstream:  N/A       |       Commit:
         Branch:            |     Stopgaps:
   Dependencies:            |
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Comment (by rws):

 Replying to [comment:12 mmezzarobba]:
 > ...And (FWIW) that's also what Maple does:
 > {{{
 > #-->s := series(sin(x),x);
 > s := series(1*x-1/6*x^3+1/120*x^5+O(x^7),x,7)
 > #-->t := series(exp(x),x);
 > t := series(1+1*x+1/2*x^2+1/6*x^3+1/24*x^4+1/120*x^5+O(x^6),x,6)
 > #-->s*t;
 >
 
(series(1*x-1/6*x^3+1/120*x^5+O(x^7),x,7))*(series(1+1*x+1/2*x^2+1/6*x^3+1/24*x^4+1/120*x^5+O(x^6),x,6))
 > #-->series(s*t,x);
 > series(1*x+1*x^2+1/3*x^3-1/30*x^5+O(x^6),x,6)
 > }}}
 > But perhaps I misunderstood the question?

 Interesting. But that can be considered a bug and see the sage-devel link
 for a bug report. I mean, what else do you expect as result when dealing
 with a series? But I'll open a new ticket for that.

--
Ticket URL: <http://trac.sagemath.org/ticket/18393#comment:13>
Sage <http://www.sagemath.org>
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