# Difference between revisions of "Manuals/calci/GAMMAFUNCTION"

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− | == | + | <div style="font-size:30px">'''GAMMAFUNCTION (z)'''</div><br/> |

+ | *<math>z</math> 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: | ||

+ | <math>\Gamma (n)=(n-1)!</math> | ||

+ | *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: |

## Revision as of 14:49, 28 November 2016

**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: