Gamma function online calculator
You can calculate the Gamma function of given numbers using the gamma command as follows.
The gamma word works as a command to calculate the Gamma function and all numbers are separated by a space. In the above example, the calculator calculates the arccosines of 0.5, 2, 5, 12.3.
Gamma function definition
The Gamma function is defined as follows.
\[ \Gamma( n ) = (n - 1)! \quad (n \in \mathbb{N} ) \\~\\ \Gamma( x ) = \int ^{\infty} _{0} { t^{x-1} e^{-t} dt } \]
The Gamma function is basically the factorial function. We can see it as the extension of the factorial function in real numbers.
The properties Gamma function
\[ \Gamma( x+1 ) = x \Gamma( x ) \]