Product
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 TE 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 on the web: Section 1.5.4.
Implementation Notes: see Section A.9.5.
See also: Do, Sum, Table, NProduct.
Further Examples
