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Scilab Help >> Special Functions > gamma

# gamma

The gamma function.

### Syntax

`y = gamma(x)`

### Arguments

x

scalar, vector, matrix, or hypermatrix of real numbers.

 `gamma` can be overloaded for complex numbers or of lists, tlists or mlists.
y

real vector or matrix with same size than x.

### Description

`gamma(x)` evaluates the gamma function at all the elements of `x`. The gamma function is defined by :

and generalizes the factorial function for real numbers (`gamma(u+1) = u*gamma(u)`).

### Examples

```// simple examples
gamma(0.5)
gamma(6)-prod(1:5)```
```// the graph of the Gamma function on [a,b]
a = -3; b = 5;
x = linspace(a,b,40000);
y = gamma(x);
clf()
plot2d(x, y, style=0, axesflag=5, rect=[a, -10, b, 10])
xtitle("The gamma function on ["+string(a)+","+string(b)+"]")
show_window()```

• gammaln — The logarithm of gamma function.
• dlgamma — derivative of gammaln function, psi function
• factorial — The factorial function

### History

 Version Description 5.4.0 Overloading allowed for list, mlist, tlist and hypermatrix types. 6.0.2 The input can now be an hypermatrix. `gamma` can now be overloaded for complex numbers.