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NIntegrate HypergeometricU

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84826] NIntegrate HypergeometricU
  • From: "subo_dha at yahoo.com" <subodha.g at gmail.com>
  • Date: Wed, 16 Jan 2008 03:22:41 -0500 (EST)

I am trying to NIntegrate the function HypergeometricU[a,b,z]  with
a>=1, b>=1,z=R/sin[x]^2 where integration is from 0 to Pi/2. For lower
values of R  this gives answers and for Higher values of R this is
giving errors .

\!\(NIntegrate::"singd" \(\(:\)\(\ \)\) "NIntegrate's singularity
handling
      has failed at point \
\!\({x}\)=\!\({8.145014137541`5.15492657977389*^-15}\) for the
specified \
precision goal. Try using larger values for any of $MaxExtraPrecision
or the \
options WorkingPrecision, or SingularityDepth and MaxRecursion"\)

Even though I change the working precisio,SingularityDepth and
MaxRecursion it is not helping me much. Please advice me how to solve
this problem.

Subodha


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