Comment #12 on issue 2723 by [email protected]: What should summation() do with non-integer limits?
http://code.google.com/p/sympy/issues/detail?id=2723

We should allow non integer summation, just like Mathematica does (assuming it does what a physicist would intuitively expect, which I think it does).

I think that the restriction "b-a is integer" is a sound one. Why not to use the following identity at the beginning of summation:

summation(f(k), (k, a, b)) == summation(f(l+a), (l, 0, b-a))

where l = k-a, and simply check, that the upper limit "b-a" is an integer, and then just call the old code?

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