Comment #9 on issue 2639 by [email protected]: Product() is seriously broken
http://code.google.com/p/sympy/issues/detail?id=2639

I was updating Sum and Product to have is_number and is_zero methods and fixed some of the things of Product. btw, the 3 (Sum, Product and Integral) don't unify quite like one would expect since Integral always has the integration variable in its function whereas sum and product do not. What remains is:


- Product(f(n), n, 1, k) syntax is allowed, and, furthermore, it does something different than Product(f(n), (n, 1, k))! (the former returns an unevaluated product and the latter raises NotImplementedError)

- Product() tries to evaluate, but using a different algorithm than product()!

- Product(f(n), (n, 1, k)) prints as Product(f(n), n, 1, k)

- Product should allow multiple products (as noted in comment 7)

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