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**1. Homework Statement**

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. Homework Equations**

**3. The Attempt at a Solution**