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Gamma

Gamma[z] is the Euler gamma function  .
Gamma[a, z] is the incomplete gamma function  .
Gamma[a,  ,  ] is the generalized incomplete gamma function  .

• The gamma function satisfies  .
• The incomplete gamma function satisfies  .
• The generalized incomplete gamma function is given by the integral  .
Gamma[z] can be input as  .
• See also:
Factorial.

Examples

Using InstantCalculators

Here is the InstantCalculator for the Gamma function. Enter the parameters for your calculation and click Calculate to see the result.

Entering Commands Directly

You can paste a template for this command via the Text Input button on the Gamma Function Controller.

Here is a plot of Gamma[x] for x from 0 to 5.

Here are the first 10 integer values of the gamma function; these are the factorials offset by 1.

Gamma generalizes factorials to numbers beyond the positive integers.



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