Home
Reference Guides
Reference guides are available for functions and commands supported by OML, Tcl, and Python.
Reference Guide for OpenMatrix Language Functions
The Reference Guide contains documentation for all functions supported in the OpenMatrix language.
Statistical Analysis Commands
gamma
Gamma function.

Welcome
What's New
Discover new features and enhancements.
Get Started
Discover Compose, including its language support and system requirements.
Tutorials
The Compose tutorials and associated example model files help introduce you to the basic functionality of the software.
User Guide
Learn about the features and functionality available in Compose.
Reference Guides
Reference guides are available for functions and commands supported by OML, Tcl, and Python.
- Scripting Guide for OpenMatrix Language
  OpenMatrix is a mathematical scripting language.
- Reference Guide for OpenMatrix Language Functions
  The Reference Guide contains documentation for all functions supported in the OpenMatrix language.
  - ABF Commands
  - Altair Integration Commands
  - Audio Commands
  - CAE Commands
  - CAE Reader Commands
  - CAE Reader 3D Commands
  - CAE Writer Commands
  - Calculus Commands
  - Computer Vision Commands
  - Communication Commands
  - Control System Commands
  - Core Minimal Interpreter Commands
  - Data Structure Commands
  - Differential Equations Commands
  - Elementary Math Commands
  - File I/O Commands
  - Geometry Commands
  - GUI Commands
  - HDF5 Reader Commands
  - HDF5 Writer Commands
  - hstpyfit Commands
  - Image Commands
  - JSON Commands
  - Library Manager Commands
  - Linear Algebra Commands
  - Logical Commands
  - Machine Learning Commands
  - Optimization Commands
  - Plotting Commands
  - PSIM Commands
  - Polynomial Math Commands
  - Signal Processing Commands
  - Special Functions Commands
  - Statistical Analysis Commands
    - bbdesign
      Generates a design matrix for Box-Behnken with specified number of factors f.
    - beta
      Beta function.
    - betacdf
      Compute beta distribution cumulative distribution function values.
    - betafit
      Fit a beta distribution to a data sample.
    - betainc
      Compute incomplete beta function values.
    - betainv
      Compute beta distribution inverse cumulative distribution function values.
    - betaln
      Log beta function.
    - betapdf
      Compute beta distribution probability density function values.
    - betarnd
      Generate random data from a beta distribution.
    - bins
      Divides the range of data d into n equal bins.
    - cdf
      Compute cumulative distribution function values.
    - cdfplot
      Create an empirical cumulative distribution function plot.
    - center
      Computes zero mean, or centered values.
    - chi2cdf
      Compute chi-squared distribution cumulative distribution function values.
    - chi2inv
      Compute chi-squared distribution inverse cumulative distribution function values.
    - chi2pdf
      Compute chi-squared distribution probability density function values.
    - chi2rnd
      Generate random data from a chi-squared distribution.
    - corr
      Compute correlation coefficients.
    - cov
      Compute covariances.
    - cpsd
      Compute cross spectral densities.
    - detrend
      Removes the mean or best fit line from a data vector.
    - erf
      Returns the error function of x.
    - expcdf
      Compute exponential distribution cumulative distribution function values.
    - expfit
      Fit an exponential distribution to a data sample.
    - expinv
      Compute exponential distribution inverse cumulative distribution function values.
    - exppdf
      Compute exponential distribution probability density function values.
    - exprnd
      Generate random data from an exponential distribution.
    - factorial
      Factorial function.
    - fcdf
      Compute F distribution cumulative distribution function values.
    - finv
      Compute F distribution inverse cumulative distribution function values.
    - fpdf
      Compute F distribution probability density function values.
    - frnd
      Generate random data from an F distribution.
    - fullfact
      Generate the full factorial design matrices.
    - gamcdf
      Compute gamma distribution cumulative distribution function values.
    - gamfit
      Fit a gamma distribution to a data sample.
    - gaminv
      Compute gamma distribution inverse cumulative distribution function values.
    - gamma
      Gamma function.
    - gammaln
      Log gamma function.
    - gammainc
      Compute incomplete gamma function values.
    - gampdf
      Compute gamma distribution probability density function values.
    - gamrnd
      Generate random data from a gamma distribution.
    - histc
      Computes histogram counts.
    - icdf
      Compute inverse cumulative distribution function values.
    - kurtosis
      Compute kurtosis values.
    - logncdf
      Compute lognormal distribution cumulative distribution function values.
    - lognfit
      Fit a lognormal distribution to a data sample.
    - logninv
      Compute lognormal distribution inverse cumulative distribution function values.
    - lognpdf
      Compute lognormal distribution probability density function values.
    - lognrnd
      Generate random data from a normal distribution.
    - mad
      Compute mean or median absolute deviation values.
    - mean
      Computes mean values.
    - meandev
      Compute mean absolute deviation values.
    - median
      Compute median values.
    - mode
      Compute mode values.
    - movmean
      Computes moving average values.
    - movmedian
      Computes moving median values.
    - nanmean
      Computes mean values, ignoring NaN values.
    - nanmedian
      Compute medians, ignoring NaN values.
    - nanstd
      Compute standard deviations, ignoring NaN values.
    - nansum
      Returns vector or matrix element sums, ignoring NaN values.
    - nanvar
      Compute variances, ignoring NaN values.
    - nchoosek
      Combinatorial function for selecting from a set of items.
    - normcdf
      Compute normal distribution cumulative distribution function values.
    - normfit
      Fit a normal distribution to a data sample.
    - norminv
      Compute normal distribution inverse cumulative distribution function values.
    - normpdf
      Compute normal distribution probability density function values.
    - normrnd
      Generate random data from a normal distribution.
    - pdf
      Compute probability density function values.
    - pdist
      Compute distances between the rows of a matrix.
    - pdist2
      Compute distances between rows of two matrices.
    - poisscdf
      Compute Poisson distribution cumulative distribution function values.
    - poissfit
      Fit a Poisson distribution to a data sample.
    - poissinv
      Compute Poisson distribution inverse cumulative distribution function values.
    - poisspdf
      Compute Poisson distribution probability density function values.
    - poissrnd
      Generate random data from a Poisson distribution.
    - polyfit
      Fit a polynomial to a set of paired data.
    - ppplot
      Create a probability-probability plot.
    - qqplot
      Create a quantile-quantile plot.
    - quantile
      Compute quantile values.
    - rand
      Generate uniform random values on the interval (0,1).
    - randi
      Generates random integers.
    - randn
      Generate standard normal random values.
    - random
      Generate random samples from a distribution.
    - randperm
      Generates a random permutation vector.
    - regress
      Perform multiple linear regression using the model y = X * beta + e.
    - rms
      Compute root mean square values.
    - skewness
      Compute skewness values.
    - std
      Compute standard deviations.
    - tcdf
      Compute Student t distribution cumulative distribution function values.
    - tinv
      Compute Student t distribution inverse cumulative distribution function values.
    - tpdf
      Compute Student t distribution probability density function values.
    - trnd
      Generate random data from a Student t distribution.
    - ttest
      Hypothesis test for the mean of a sample with unknown standard deviation.
    - ttest2
      Hypothesis test for the means of two samples with unknown and equal standard deviations.
    - unifcdf
      Compute uniform distribution cumulative distribution function values.
    - unifinv
      Compute uniform distribution inverse cumulative distribution function values.
    - unifit
      Fit a uniform distribution to a data sample.
    - unifpdf
      Compute uniform distribution probability density function values.
    - unifrnd
      Generate random data from a uniform distribution.
    - var
      Compute variance values.
    - vartest
      Hypothesis test for the variance of a sample.
    - vartest2
      Hypothesis test for the variances of two samples.
    - wblcdf
      Compute Weibull distribution cumulative distribution function values.
    - wblfit
      Fits a Weibull distribution to a data sample.
    - wblinv
      Compute Weibull distribution inverse cumulative distribution function values.
    - wblpdf
      Compute Weibull distribution probability density function values.
    - wblrnd
      Generate random data from a Weibull distribution.
    - ztest
      Hypothesis test for the mean of a sample with known standard deviation.
  - String Operations Commands
  - System Commands
  - Table Commands
  - Tcl Bridge OML Commands
  - Tcl Bridge Tcl Commands
  - Time Commands
  - Trigonometry Commands
  - OML to Python Bridge Commands
  - Python to OML Bridge Commands
- Python in Compose Reference Guide
Appendix
Get help for the optional libraries that are available in the Extension Manager.
Frequently Asked Questions
You've got questions? We've got answers!

gamma

Gamma function.

Syntax

x=gamma(a)

Inputs

a: Type: double | integer; Dimension: scalar | vector | matrix

Outputs

x: Gamma function values.; Dimension: scalar | vector | matrix

Examples

Single gamma value example:

x=gamma(3)

x = 2

Matrix gamma example:

x=gamma([4 6 8;6 4 2; 7 4 2])

x = [Matrix] 3 x 3
   6   120  5040
 120     6     1
 720     6     1