help: Integrate[(1-x)^(-1/2)*(1-y)^(-1/2)/(x+y),{x,0,1},{y,0,1}]

*To*: mathgroup at smc.vnet.net*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 -- ==== [MESSAGE SEPARATOR] ====