MedCalc

# GAMMA function

## Description

GAMMA(x) returns the Gamma function of x.

When the argument n is an integer, the gamma function is similar to the factorial function, offset by one. Gamma(n) is defined as:

$$\Gamma(n) = (n-1)!$$

When x is a real number Gamma(x) is defined by the integral:

$$\Gamma(x) = \int_0^\infty t^{x-1} e^{-t}\,{\rm d}t$$

The argument n must be higher than 0.

If n is larger than 171.62, the function overflows and returns an error. For large arguments the GammaLn function can be used.

## Calculator

 GAMMA( )

## Graph

 Function: GAMMA() X-axis Y-axis Minimum: Maximum: