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MathGroup Archive 2007

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Re: Beta function, Integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79912] Re: Beta function, Integral
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 8 Aug 2007 04:59:52 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <f990ds$btq$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

Integrate[t^{p - 1}*(1 - t)^(q - 1), {t, 0, z},
  Assumptions -> {p > 0 && q > 0 && Re[z] <= 1}]

works, but best of all it return a List[] with the
expression inside ...

Thats a bug.

Regards
   Jens


Asim wrote:
> Hi
> 
> The following integral does not seem to give the correct answer. The
> answer should be the Euler Beta function,  Beta[p,q]. Can anybody let
> me know what I am doing wrong? Or is this a bug?
> 
> 
> In[12]:= Integrate[t^{p - 1}*(1 - t)^(q - 1), {t, 0, 1},  Assumptions -
>> {p > 0, q > 0}]
> 
> Out[12]= {(\[Pi] Csc[\[Pi] q] Gamma[p])/(Gamma[1 - q] Gamma[p + q])}
> 
> 
> Thanks
> 
> Asim Ansari
> 
> 


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