Difference between revisions of "Gamma function"

From Script | Spoken-Tutorial
Jump to: navigation, search
(Created page with '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. -->ga…')
 
(No difference)

Latest revision as of 16:14, 24 December 2012

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

Contributors and Content Editors

Gyan