#10519: analytic combinatorics: new code for computing asymptotics for
multivariate
generating functions
-------------------------------------+-------------------------------------
Reporter: araichev | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.1
Component: combinatorics | Resolution:
Keywords: analytic | Merged in:
combinatorics, multivariate | Reviewers: Daniel Krenn, David
generating functions, asymptotics | Loeffler
Authors: Daniel Krenn, | Work issues:
Alex Raichev | Commit:
Report Upstream: N/A | e3668f46714d262e20b7ab7adc514ac6f8e09cd8
Branch: | Stopgaps:
public/combinat/10519 |
Dependencies: |
-------------------------------------+-------------------------------------
Changes (by cheuberg):
* milestone: sage-6.4 => sage-7.1
Old description:
> This code is a collection of functions designed
> to compute asymptotics of Maclaurin coefficients of certain classes of
> multivariate generating functions.
>
> The main function asymptotics() returns the first `N` terms of
> the asymptotic expansion of the Maclaurin coefficients `F_{n\alpha}`
> of the multivariate meromorphic function `F=G/H` as `n\to\infty`.
> It assumes that `F` is holomorphic in a neighborhood of the origin,
> that `H` is a polynomial, and that asymptotics in the direction of
> `\alpha` (a tuple of positive integers) are controlled by smooth
> or multiple points.
>
> Apply [attachment:trac_10519-v7.patch]
New description:
This code is a collection of functions designed
to compute asymptotics of Maclaurin coefficients of certain classes of
multivariate generating functions.
The main function asymptotics() returns the first `N` terms of
the asymptotic expansion of the Maclaurin coefficients `F_{n\alpha}`
of the multivariate meromorphic function `F=G/H` as `n\to\infty`.
It assumes that `F` is holomorphic in a neighborhood of the origin,
that `H` is a polynomial, and that asymptotics in the direction of
`\alpha` (a tuple of positive integers) are controlled by smooth
or multiple points.
--
--
Ticket URL: <http://trac.sagemath.org/ticket/10519#comment:119>
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