Status: Accepted
Owner: ----
Labels: Type-Defect Priority-Medium
New issue 2915 by ness...@gmail.com: Improve meijerint heuristics
http://code.google.com/p/sympy/issues/detail?id=2915
The code to rewrite an "arbitrary" expression in terms of meijer
g-functions is very much heuristic; these heuristics certainly warrant
improvement. One example that has come up during review is that sometimes
for example find_splitting_points can profit from factoring:
In [60]: integrate(cos(x**2 - 2*x + 1), x, meijerg=True)
Out[60]:
⌠
⎮ ⎛ 2 ⎞
⎮ cos⎝x - 2⋅x + 1⎠ dx
⌡
In [61]: integrate(cos(factor(x**2 - 2*x + 1)), x, meijerg=True)
Out[61]:
⎛ │ 4⎞
┌─ ⎜ 1/4 │ -(x - 1) ⎟
(x - 1)⋅Γ(1/4)⋅ ├─ ⎜ │ ─────────⎟
1╵ 2 ⎝1/2, 5/4 │ 4 ⎠
──────────────────────────────────────────
4⋅Γ(5/4)
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