#18141: special values of transcendental functions
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by rws):
Replying to [comment:10 behackl]:
> It seems that adapting the expansion from `.series()` is possible by
implementing a `_series_`-method (this is somehow mentioned
[https://github.com/sagemath/sage/blob/master/src/sage/symbolic/function.pyx#L34-L37
here] in `symbolic/function.pyx`.
Yes, setting any of these functions in Python will override Pynac's
implementation (and slow down its calls). In case of `_series_` it's
dispatched to in `function::series`, see
https://github.com/pynac/pynac/blob/master/ginac/function.cpp#L943.
From experimentation I can say that if you define a
`Function_zeta::_series_()` method it will be called with 6 arguments,
e.g. `zeta(y).series(x==1,5)` will call the Python function
`Function_zeta::_series_(self, (y,), {'var': x, 'options': 0, 'at': 1,
'order': 5})` so you need to define it as `_series_(self, varlist,
var=..., options=... , at=..., order=...)` and return an expression.
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Ticket URL: <http://trac.sagemath.org/ticket/18141#comment:11>
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