#15698: univariate polynomial ring fraction expansion to power series
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       Reporter:  rws                            |        Owner:  rws
           Type:  enhancement                    |       Status:  new
       Priority:  major                          |    Milestone:  sage-6.1
      Component:  algebra                        |   Resolution:
       Keywords:  series expansion fraction ogf  |    Merged in:
        Authors:                                 |    Reviewers:
Report Upstream:  N/A                            |  Work issues:
         Branch:                                 |       Commit:
   Dependencies:                                 |     Stopgaps:
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Description changed by rws:

Old description:

> The following behaviour is not implemented, example:
> {{{
>   sage: R.<t> = QQ[]; A=1/(1-t)
>   sage: A.expand(5)
>   1+t+t^2+t^3+t^4+t^5+O(t^6)
>   sage: A+O(t^6)
>   1+t+t^2+t^3+t^4+t^5+O(t^6)
> }}}
> Result type being a power series. The pari function Ser() implements the
> same behaviour. Note: I would like to implement this.

New description:

 The following behaviour is not implemented, example:
 {{{
   sage: R.<t> = QQ[]; A=1/(1-t)
   sage: A.expand(5)
   1+t+t^2+t^3+t^4+t^5+O(t^6)
   sage: A+O(t^6)
   1+t+t^2+t^3+t^4+t^5+O(t^6)
 }}}
 Add a parameter to specify the respective series variable (for derivation)
 then multivariate polynomial fractions can be handled. Result type being a
 power series. The pari function Ser() implements the same behaviour. Note:
 I would like to implement this.

--

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Ticket URL: <http://trac.sagemath.org/ticket/15698#comment:1>
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