Gamma function

The gamma function is defined by :

<math>\Gamma(n)=\int_0^\infty e^{-x}x^{n-1}dx</math>

in scilab gamma(n) evaluates the gamma function at all the elements of n.

e.g.

 -->gamma(1)
 ans  =

   1.  

 -->gamma(0)
ans  =

  Inf

For n positive integer <math>\Gamma(n+1)=n!</math>

i.e.

 -->gamma(5) 
 ans  =

   24.  

 -->gamma(4)
 ans  =

   6.

Similarly we can check gamma function for fractions also.

e.g.

 -->gamma(11/2)
 ans  =

   52.342778  

 -->gamma(-11/2)
 ans  =

   0.0109127

One important property of gamma function is:

 -->gamma(1/2)
ans  =

   1.7724539

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