August 21st, 2013, 04:01 AM  #1 
Senior Member Joined: Oct 2012 Posts: 460 Thanks: 0  gama vs ß function plots
Dear All! Please, is it possible to distinguish ß and gama function plot on the first look, and how? Many thanks! 
August 21st, 2013, 05:19 PM  #2 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: gama vs ß 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 ? 
August 22nd, 2013, 06:41 AM  #3 
Senior Member Joined: Oct 2012 Posts: 460 Thanks: 0  Re: gama vs ß function plots
Yes, right this_ if it is possible to see the difference form the graph 
August 22nd, 2013, 01:20 PM  #4 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: gama vs ß 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 2D 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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