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.

The argument n can be a real number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the Gamma function applied to all elements.

Graph

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

Enter the argument(s) for the function, including the symbol x.
Enter the minimum and maximum for the X-axis and for the Y-axis.
To let the software define the Y-axis automatically, leave both input fields for the Y-axis empty.

See also

• GAMMALN function: returns the logarithm of the Gamma function.
• Beta, Gamma, factorial and combination functions

External links

• Gamma function on Wikipedia.