# Manuals/calci/GAMMAFUNCTION

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**GAMMAFUNCTION (z)**

- is any positive real number.

## Description

- This function gives the value of the Gamma function.
- The Gamma function is defined to be an extension of the factorial to complex and real number arguments.
- That is, if n is a positive integer:

- Gamma function is defined for all complex numbers except the non-positive integers.
- For complex numbers with a positive real part, it is defined via a convergent improper integral: