#6800: formal/lazy/infinite powerseries
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       Reporter:  Henryk.Trappmann  |        Owner:  burcin
           Type:  enhancement       |       Status:  needs_work
       Priority:  major             |    Milestone:  sage-6.2
      Component:  algebra           |   Resolution:
       Keywords:  LazyPowerSeries   |    Merged in:
        Authors:  Henryk Trappmann  |    Reviewers:
Report Upstream:  N/A               |  Work issues:
         Branch:                    |       Commit:
   Dependencies:                    |     Stopgaps:
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Comment (by rws):

 I think although there is `combinat.species.series.LazyPowerSeries` this
 implementation would still be good to have, as the implementation in
 combinat misses many features included here. It is also needed for
 P-finite sequences.

 However, I don't think it's right to define all special functions anew:
 the ring or a static function should be able to create a series from a
 symbolic expression (interpreted as e.g.f.), and , in case of a rational
 polynomial, delegate to CFiniteSequence (#15714).

 There were a few failures:
 {{{
    1 of  39 in sage.rings.formal_powerseries.FormalPowerSeries
    1 of   6 in sage.rings.formal_powerseries.FormalPowerSeries.nipow
    1 of   6 in sage.rings.formal_powerseries.FormalPowerSeries.pow
    3 of   8 in sage.rings.formal_powerseries.FormalPowerSeries0.abel
    1 of   4 in sage.rings.formal_powerseries.decidable0
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/6800#comment:5>
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