question
- To: mathgroup at smc.vnet.net
- Subject: [mg75622] question
- From: dimitris <dimmechan at yahoo.com>
- Date: Mon, 7 May 2007 05:27:42 -0400 (EDT)
Hi.
I want to show that
x/Pi - (1/2)*x*(StruveH[-1, x] + StruveH[1, x])
is equal to zero.
In[36]:=
Plot[Chop[x/Pi - (1/2)*x*(StruveH[-1, x] + StruveH[1, x])], {x, -2,
2}, Axes -> False, Frame -> True]
with Mathematica.
Simplify, FullSimplify, FunctionExpand fail to do this task. Even
replacing x by specific value does
not yield better results.
In[40]:=
FullSimplify[3/Pi - (1/2)*3*(StruveH[-1, 3] + StruveH[1, 3])]
Out[40]=
3/Pi - (3/2)*(StruveH[-1, 3] + StruveH[1, 3])
On the contrary, in another CAS I took
simplify(3/Pi - (1/2)*3*(StruveH(-1, 3) + StruveH(1, 3)));
0
Any ideas?
A quick way to show that x/Pi - (1/2)*x*(StruveH[-1, x] + StruveH[1,
x]) is indeed
zero is
In[41]:=
Integrate[x/Pi - (1/2)*x*(StruveH[-1, x] + StruveH[1, x]), x]
Out[41]=
0
but I would really appreciate any other suggestions.
Thanks
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