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Excel GAMMA Function

The GAMMA function returns the value of the gamma function for a specified number.

Note: The GAMMA function was introduced in Excel 2013. So, it is not available in earlier versions of Excel.

gamma function 1


Syntax

=GAMMA(x)


Arguments

  • x (required): The number for which to calculate the gamma function value. Note: x must be a positive number or a negative decimal.

Return Value

The GAMMA function returns a numeric value.


Function Notes

  • GAMMA returns the #NUM! error if x is a negative integer or 0 (zero).
  • GAMMA returns the #VALUE! error if x is not a numeric value.
  • The equation for the gamma function Γ(n) is:
    gamma function equation

Example

To calculate the gamma function value for the given x values listed in the following table, please copy or enter the formula below in the top cell, press Enter to get the result, and then drag the fill handle (at the lower right corner of the result cell) down to apply the formula to the below cells.

=GAMMA(B6)

gamma function 2

Also, you can type the actual x value in the formula as shown below.

=GAMMA(0.1)


Related functions

Excel GAMMA.DIST Function

The GAMMA.DIST function returns the gamma distribution. The function is frequently used to provide probabilities for values that may have a skewed distribution, such as queuing analysis.

Excel GAMMA.INV Function

The GAMMA.INV function returns the inverse of the gamma cumulative distribution. The function is frequently used to provide probabilities for values that may have a skewed distribution, such as queuing analysis.


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