#12241: exp, log, derivative of multivariate power series
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Reporter: vbraun | Owner: malb
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.8
Component: commutative algebra | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Volker Braun
Merged: | Dependencies:
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This ticket implements exp, log, and derivative of multivariate power
series:
{{{
sage: T.<a,b> = PowerSeriesRing(ZZ,2)
sage: f = a + b + a^2*b
sage: f = a + b + a^2*b + T.O(4)
sage: f.derivative(a)
1 + 2*a*b + O(a, b)^3
sage: exp(f)
1 + a + b + 1/2*a^2 + a*b + 1/2*b^2 + 1/6*a^3 + 3/2*a^2*b + 1/2*a*b^2 +
1/6*b^3 + O(a, b)^4
sage: log(1+f)
a + b - 1/2*a^2 - a*b - 1/2*b^2 + 1/3*a^3 + 2*a^2*b + a*b^2 + 1/3*b^3 +
O(a, b)^4
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12241>
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