Product

Symbolic product.

Independently checkable: an answer for this function is re-derived by a different route and compared - the workbench and the verify tool do this automatically, so a wrong answer is caught rather than trusted. History →

Forms

Product[f, {i, imax}]

Product[f, {i, imin, imax}]

Product[f, {i, imin, imax, di}]

Product[f, {i, {i1, i2, …}}]

Product[f, {i, imin, imax}, {j, jmin, jmax}, …]

Product[f, i]

Verified examplesProduct[k, {k, 1, 5}] → 120 Product[k^2, {k, 1, 3}] → 36 Product[i, {i, 1, 4}, {j, 1, 2}] → 576 Product[n, {n, 1, 5}, Method -> Automatic] → 120Options

Assumptions — default $Assumptions
GenerateConditions — default False
GeneratedParameters — default None
Method — default Automatic
Regularization — default None
VerifyConvergence — default True

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Used in

Evaluate infinite sums and products - 7 steps

Topics

Additive Number Theory - Summation-Related Operations
Analytic Number Theory - Operations
Calculus - Discrete Calculus »
Discrete Calculus - Products & Ratios
Multiplicative Number Theory - Operations
New In100 Higher Mathematical Computation - Enhanced Calculus

Used in

Topics

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