#10519: analytic combinatorics: new code for computing asymptotics for
multivariate
generating functions
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Reporter: araichev | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.6.2
Component: combinatorics | Keywords: analytic combinatorics,
multivariate generating functions, asymptotics
Author: Alex Raichev | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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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/sage_trac/ticket/10519>
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