This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 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 SectionÂ 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. See also Implementation NotesA.9.55.15MainBookLinkOldButtonDataA.9.55.15. See also: Do, Sum, Table, NProduct. Further Examples A symbolic product. In[1]:= Out[1]= This product tends to (slowly) as tends to infinity. In[2]:= Out[2]= In[3]:= Out[3]= In[4]:=