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Given a zero of an associated Legendre function, how to find its order?

  1. Aug 4, 2011 #1
    Given the function

    g([itex]\theta[/itex]) = P1v(cos[itex]\theta[/itex])/sin[itex]\theta[/itex] + dP1v(cos[itex]\theta[/itex])/d[itex]\theta[/itex]

    where
    P1v(cos[itex]\theta[/itex])
    is the associated Legendre function of the first kind.

    If [itex]\theta[/itex] is a constant, for ex. [itex]\theta[/itex] = 20º or other angle, how could I find the order v in a way that g([itex]\theta[/itex]) = 0 ???

    Thanks any help!
     
  2. jcsd
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