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MathGroup Archive 2007

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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


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