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MathGroup Archive 2007

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Re: Struve functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75715] Re: Struve functions
  • From: dimitris <dimmechan at yahoo.com>
  • Date: Wed, 9 May 2007 04:28:09 -0400 (EDT)
  • References: <f1phmv$il0$1@smc.vnet.net>

Thanks a lot!

Dimitris

=CF/=C7 Bhuvanesh =DD=E3=F1=E1=F8=E5:
> 5.2 did use convolution to get the result (by shifting the limits and com=
puting 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]*HypergeometricPFQRegulari=
zed[{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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