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Are bessel functions pure real?

  1. Mar 31, 2008 #1
    1. The problem statement, all variables and given/known data
    I'm wondering if the bessel functions are pure real. What I really want to know is that if the bessel funtions are [tex]J[/tex] and [tex]Y[/tex] (i.e. first and second kinds), and the Hankel functions are
    [tex]H_1=J+iY[/tex] and [tex]H_2=J-iY[/tex], then can we say that
    [tex]H_1=H_{2}^{*}[/tex] where the * denotes complex conjugation?

    Note that I'm considering the case where the bessel functions have real arguments.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Mar 31, 2008 #2


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  4. Apr 1, 2008 #3
    Great. Thanks.
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