Re: Struve functions
- To: mathgroup at smc.vnet.net
- Subject: [mg75665] Re: Struve functions
- From: Bhuvanesh <BhuvaneshBhatt at gmail.com>
- Date: Tue, 8 May 2007 05:50:58 -0400 (EDT)
5.2 did use convolution to get the result (by shifting the limits and computing Integrate[StruveH[n, t*x], {x,0,1}]). In 6.0, we get:
In[1]:= Integrate[{StruveH[n, x], StruveL[n, x]}, x] //InputForm
Out[1]//InputForm=
{2^(-2 - n)*x^(2 + n)*Gamma[1 + n/2]*HypergeometricPFQRegularized[{1, 1 + n/2}, {3/2 + n, 3/2, 2 + n/2},
-x^2/4], 2^(-2 - n)*x^(2 + n)*Gamma[1 + n/2]*HypergeometricPFQRegularized[{1, 1 + n/2},
{3/2 + n, 3/2, 2 + n/2}, x^2/4]}
In[2]:= D[%, x] - {StruveH[n, x], StruveL[n, x]} //FullSimplify
Out[2]= {0, 0}
Bhuvanesh,
Wolfram Research