Re: Some bugs in Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg59224] Re: [mg59188] Some bugs in Mathematica
- From: Zhengji Li <zhengji.li at gmail.com>
- Date: Tue, 2 Aug 2005 00:42:57 -0400 (EDT)
- References: <200508010505.BAA24522@smc.vnet.net>
- Reply-to: Zhengji Li <zhengji.li at gmail.com>
- Sender: owner-wri-mathgroup at wolfram.com
For No.1, I think the result should be (n - 1) Pi / 2, where n >= 1.
You can use this to verify it:
Table[Sum[(Gamma[n - k - 1/2]*Gamma[k + 1/2])/(Gamma[n - k -
1]*Gamma[k + 1]), {k, 0, n - 1 + 4}], {n, 1, 10}]
For No. 2, the result is just correct. You can use D[.., r] to verify
it. You can see the help of AppellF1, there is a more generalized
version of your integral.
For No. 3, I wonder why you want to do the integral over [x, b]. There
are several singular values in the function, and the result will
differ under different conditions. I think Mathematica's "result" is
reasonable, since it maybe too complicated for it to judge how to do
this leak-of-constraint integral.
- References:
- Some bugs in Mathematica
- From: akhmel@hotmail.com
- Some bugs in Mathematica