Product[f, i, imax] evaluates the product .
Product[f, i, imin, imax] starts with i = imin. Product[f, i, imin, imax, di] uses steps di.
Product[f, i, imin, imax, j, jmin, jmax, ... ] evaluates the multiple product .
Product[f, i, imax] can be entered as .
can be entered as prod or \[Product].
Product[f, i, imin, imax] can be entered as .
The limits should be underscripts and overscripts of in normal input, and subscripts and superscripts when embedded in other text.
Product evaluates its arguments in a non-standard way (see Section A.4.2).
Product uses the standard Mathematica iteration specification.
The iteration variable i is treated as local.
In multiple products, the range of the outermost variable is given first.
The limits of a product need not be numbers. They can be Infinity or symbolic expressions.
If a product cannot be carried out explicitly by multiplying a finite number of terms, Product will attempt to find a symbolic result. In this case, f is first evaluated symbolically.
Product can do essentially all products that are given in standard books of tables.
Product is output in StandardForm using .
See The Mathematica Book: Section 1.5.4.
Implementation Notes: see section A.9.5.
See also: Do, Sum, Table, NProduct.