Comment #5 on issue 3694 by smi...@gmail.com: Better Simplification of
Gammas
http://code.google.com/p/sympy/issues/detail?id=3694
OK, nice again:
e = (-gamma(k)*gamma(k + 2) + gamma(k + 1)**2)/gamma(k)**2
assert combsimp(e) == k**2
assert combsimp(1/e) == 1/k**2
e = (gamma(x) + gamma(x + 1))/gamma(x)
assert combsimp(e) == x + 1
assert combsimp(1/e) == 1/(x + 1)
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