This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# Product ()

 Product[f, {i, imax}]evaluates the product f. Product[f, {i, imin, imax}]starts with i=imin. Product[f, {i, imin, imax, di}]uses steps di. Product[expr, {i, {i1, i2, ...}}] uses successive values i1, i2, .... Product[f, {i, imin, imax}, {j, jmin, jmax}, ...]evaluates the multiple product ... f.
• Product[f, {i, imax}] can be entered as f.
• Product[f, {i, imin, imax}] can be entered as f.
• The limits should be underscripts and overscripts of in normal input, and subscripts and superscripts when embedded in other text.
• Product uses the standard Mathematica iteration specification.
• The iteration variable is treated as local, effectively using Block.
• If the range of a product is finite, is typically assigned a sequence of values, with being evaluated for each one.
• 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, is first evaluated symbolically.
• Product can do essentially all products that are given in standard books of tables.
Numeric product:
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Symbolic product:
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Use Esc prod Esc to enter and Ctrl+Space to enter lower limit, then Ctrl+% for the upper limit:
 Out[1]=

Infinite product:
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Multiple product with product over m performed first:
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