Gamma function ↩

Metadata 
aliases: []
shorthands: {}
created: 2022-02-20 14:46:25
modified: 2022-02-20 15:37:00

The gamma function is the generalization of the factorial to complex numbers. It is in the following form:

With the condition that the real part of the argument is positive

It has this following property, which makes it behave similarly to the factorial:

Recursive property

Now let's see what causes it to have that recursive property that makes it similar to the factorial:

Where we used partial integration.

Examples

Some examples for integers:

Examples of half integers:

Graph