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MathGroup Archive 2007

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Integrating SphericalHarmonicY

  • To: mathgroup at smc.vnet.net
  • Subject: [mg73181] Integrating SphericalHarmonicY
  • From: wgempel at yahoo.com
  • Date: Tue, 6 Feb 2007 03:47:09 -0500 (EST)

I would like

Integrate[
    Conjugate[SphericalHarmonicY[l,m,theta,phi]]
    SphericalHarmonicY[l,m,theta,phi] Sin[theta],
    {theta, 0, Pi}, {phi, 0, 2 Pi}]

to evaluate to 1 (without having to force it through a rule every
time).

I have tried
$Assumptions =
    {Element[Alternatives[theta,phi], Reals] &&
     Element[Alternatives[l,m], Integers] &&
     l >= Abs[m]}

Thanks for any help.


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