# Are bessel functions pure real?

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 $$J$$ and $$Y$$ (i.e. first and second kinds), and the Hankel functions are
$$H_1=J+iY$$ and $$H_2=J-iY$$, then can we say that
$$H_1=H_{2}^{*}$$ 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