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Re: Non-mathematician ... please help: Spherical Harmonic Coefficients

  • To: mathgroup at smc.vnet.net
  • Subject: [mg38959] Re: Non-mathematician ... please help: Spherical Harmonic Coefficients
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 21 Jan 2003 07:40:16 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <b0g2gk$mua$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

of what ? Of an analytical known function ?

Sum[a[l,m]*SphericalHarmonicY[l,m,th,phi],{l,0,Infinity},{m,-l,l}]

with a[l,m]=Integrate[
             
Conjugate[SphericalHarmonicY[l,m,th,phi]]f[th,phi]*Sin[th],
              {th,0,Pi},{phi,0,2Pi}
             ]

Regards
  Jens

Alex S wrote:
> 
> hello dear everybody,
> how to calculate  Spherical Harmonic expansion  Coefficients?
> I am looking for an algorithm possibly  for mathematica.
> please help
> thanks,
> A


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