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August 21st, 2013, 04:01 AM   #1
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gama vs function plots

Dear All!
Please, is it possible to distinguish and gama function plot on the first look, and how?

Many thanks!
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August 21st, 2013, 05:19 PM   #2
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Re: gama vs function plots

Could you illustrate the question ?

Do you mean you are given the two graphs of the functions and asked to choose which one is for gamma or beta ?
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August 22nd, 2013, 06:41 AM   #3
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Re: gama vs function plots

Yes, right this_ if it is possible to see the difference form the graph
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August 22nd, 2013, 01:20 PM   #4
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Re: gama vs function plots

Ok ,let us see :

The beta function is defined in terms of gamma function as follows



So the beta function requires to insert two values . The representation using gamma function is so interesting because we can benefit from the values of Gamma function .

It is known that the gamma function has isolated singularities (or poles ) at negative integers and zero . That is to be understood using the following equation



So the function will explode at these values .

Of course the graph of beta function on the other hand cannot be drown on the 2-D space because we have two inputs . Suppose on the other hand we fixed some values



Defined on the whole space except at 0



Defined on the whole space except at negative integers , 0, -1/2 .
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