help: Integrate[(1-x)^(-1/2)*(1-y)^(-1/2)/(x+y),{x,0,1},{y,0,1}]
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- Subject: [mg4778] help: Integrate[(1-x)^(-1/2)*(1-y)^(-1/2)/(x+y),{x,0,1},{y,0,1}]
- From: oekelly at riemann.rice.edu (Owen Ernest Kelly)
- Date: Fri, 13 Sep 1996 13:54:57 -0400
- Organization: Rice University
- Sender: owner-wri-mathgroup at wolfram.com
Would someone let me know if they have a solution for the
following?
Integrate[(1-x)^(-1/2)*(1-y)^(-1/2)/(x+y),{x,0,1},{y,0,1}]
I'm intersted if Mathematica 3.0 can do it.
MMA2.2 cannot do that one, but does provide an answer for the more general problem
Integrate[(x*y)^(1/2)/(x+y)* x^(a-1/2) *(1-x)^(b-1/2) *y^(c-1/2) *(1-y)^(d-1/2),
{x,0,1},{y,0,1}]
however that answer appears to be incorrect. I'm interested in the
case that a,b,c,d are non-negative integers. The first integral is for a=b=c=d=0.
I expect the answer will be in terms of hypergeometric functions and beta functions.
I am at oekelly.rice.edu, but I will follow
these threads for a few days too.
I appreciate any help or suggestions.
Best regards,
Owen Kelly
-----------------------------------------------
Department of Electrical & Computer Engineering
MS366, Rice University, Houston, TX, USA, 77005
(713) 527-8101 x2209 or 527-8750 (beep) x2209
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