#15698: conversion from polynomial fraction to its power series expansion
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Reporter: rws | Owner: rws
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.1
Component: algebra | Resolution:
Keywords: series expansion | Merged in:
fraction ogf | Reviewers:
Authors: | Work issues:
Report Upstream: N/A | Commit:
Branch: | ae77b79a1bcd0cb1f69b5b5219814b9d9ccad028
u/rws/ticket/15698 | Stopgaps:
Dependencies: |
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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)
> }}}
> 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.
New description:
Original description was:
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:11>
Sage <http://www.sagemath.org>
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