GAMMA function

CALC FUNCTIONS

Statistical Functions

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FUNCTIONS

Spreadsheet Lookup functions

• AVEDEV
• AVERAGE
• AVERAGEA
• COUNT
• COUNTA
• GEOMEAN
• HARMEAN
• MEDIAN
• MODE
• TRIMMEAN

Measures of dispersion / spread

• DEVSQ
• KURT
• SKEW
• STDEV
• STEDEVA
• STDEVP
• STDEVPA
• VAR
• VARA
• VARP
• VARPA

Probability and statistics

• B
• BETADIST
• BETAINV
• BINOMDIST
• CHIDIST
• CHIINV
• CHISQINV
• CHITEST
• CONFIDENCE
• CRITBINOM
• EXPONDIST
• FINV
• FISHER
• FISHERINV
• FDIST
• FTEST
• GAMMA
• GAMMAINV
• GAMMALN
• GAMMADIST
• GAUSS
• HYPGEOMDIST
• LOGINV
• LOGNORMDIST
• NEGBINOMDIST
• NORMINV
• NORMDIST
• NORMSINV
• NORMSDIST
• PERMUT
• PERMUTATIONA
• PHI
• POISSON
• PROB
• STANDARDIZE
• TDIST
• TINV
• TTEST
• WEIBULL
• ZTEST

Correlation and line fitting

• CORREL
• COVAR
• FORECAST
• INTERCEPT
• PEARSON
• RSQ
• SLOPE
• STEYX

See also (in the Arrays Functions category); GROWTH, LINEST, LOGEST, TREND

Ranking

• LARGE
• MAX
• MAXA
• MIN
• MINA
• PERCENTILE
• PERCENTRANK
• QUARTILE
• RANK
• SMALL

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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

$\Gamma (x)=\int _{0}^{\infty }t^{x-1}\mathrm {e} ^{-t}\mathrm {d} t\,\!$.

Example

GAMMA(4) = 6.0 exact GAMMA(34.56) ≈ 6.2336323276E+037 GAMMA(−4) not defined

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

$\displaystyle \Gamma (x)=(x-1)\mathrm {!}$

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

• GAMMALN
• GAMMADIST
• GAMMAINV
• FACT

• Mathematical functions

• Statistical functions

• Functions listed alphabetically
• Functions listed by category}}