Gyan: Created page with 'The gamma function is defined by : $\Gamma(n)=\int_0^\infty e^{-x}x^{n-1}dx$ in scilab gamma(n) evaluates the gamma function at all the elements of n. e.g. -->ga…'

2012-12-24T10:44:00Z

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…'

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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

Gamma function - Revision history

Gyan: Created page with 'The gamma function is defined by : \Gamma(n)=\int_0^\infty e^{-x}x^{n-1}dx in scilab gamma(n) evaluates the gamma function at all the elements of n. e.g. -->ga…'

Gyan: Created page with 'The gamma function is defined by : $\Gamma(n)=\int_0^\infty e^{-x}x^{n-1}dx$ in scilab gamma(n) evaluates the gamma function at all the elements of n. e.g. -->ga…'