Difference between revisions of "Documentation/How Tos/Calc: GAMMA function"

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== GAMMA ==
 
== GAMMA ==
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For x < 0.5 Eulers reflection formula is used.
 
For x < 0.5 Eulers reflection formula is used.
  
The Gamma function has poles for negative integers and for zero. Near the poles the values are less accurate.
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The Gamma function has poles for negative integers and for zero. Near the poles, the values are less accurate.
  
 
If x is a positive integer, then
 
If x is a positive integer, then
 
: <math>\displaystyle \Gamma(x)=(x-1)\mathrm ! </math>
 
: <math>\displaystyle \Gamma(x)=(x-1)\mathrm ! </math>
But be aware, that OpenOffice.org has only a precision of 15 digits and results, which would consists of more than 15 significant digits, are rounded.
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But be aware, that {{AOo}} has only a precision of 15 digits and results, which would consists of more than 15 significant digits, are rounded.
  
 
=== See also ===
 
=== See also ===
[[Documentation/How_Tos/Calc: GAMMADIST function|'''GAMMALN''']],
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* [[Documentation/How_Tos/Calc: GAMMALN function|GAMMALN]]
[[Documentation/How_Tos/Calc: GAMMAINV function|'''GAMMADIST''']],
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* [[Documentation/How_Tos/Calc: GAMMADIST function|GAMMADIST]]
[[Documentation/How_Tos/Calc: GAMMAINV function|'''GAMMAINV''']],
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* [[Documentation/How_Tos/Calc: GAMMAINV function|GAMMAINV]]
[[Documentation/How_Tos/Calc: GAMMAINV function|'''FACT''']]
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* [[Documentation/How_Tos/Calc: FACT function|FACT]]
  
[[Documentation/How_Tos/Calc: Mathematical functions|'''Mathematical functions''']]
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* [[Documentation/How_Tos/Calc: Mathematical functions|Mathematical functions]]
  
[[Documentation/How_Tos/Calc: Statistical functions|'''Statistical functions''']]
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* [[Documentation/How_Tos/Calc: Statistical functions|Statistical functions]]
  
[[Documentation/How_Tos/Calc: Functions listed alphabetically|'''Functions listed alphabetically''']],
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
[[Documentation/How_Tos/Calc: Functions listed by category|'''Functions listed by category''']]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
 
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[[Category: Documentation/Reference/Calc/Statistical functions]]
=== Issues ===
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This function is expected for OOo3.1. {{Bug|94555}}
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Latest revision as of 13:56, 2 February 2024



GAMMA

Returns the values of the Gamma function.

Syntax

GAMMA(x)

x is a number.
Constraint: If x is an integer, then x must be positive.

Semantic

GAMMA(x) calculates

.


Example

GAMMA(4) = 6.0 exact

GAMMA(34.56) ≈ 6.2336323276E+037

GAMMA(−4) not defined

Graph of the Gamma function

Remarks

For x < 0.5 Eulers reflection formula is used.

The Gamma function has poles for negative integers and for zero. Near the poles, the values are less accurate.

If x is a positive integer, then

But be aware, that Apache OpenOffice has only a precision of 15 digits and results, which would consists of more than 15 significant digits, are rounded.

See also

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