Revision as of 21:10, 3 June 2016

The Hankel functions of the first kind are defined by $$H_{\nu}^{(1)}(z)=J_{\nu}(z)+iY_{\nu}(z),$$ where $J_{\nu}$ is the Bessel function of the first kind and $Y_{\nu}$ is the Bessel function of the second kind. Note the similarity of these functions to the Hankel functions of the second kind.

Hankel $H_{\nu}^{(1)}$

Hankel $H_{\nu}^{(2)}$

Spherical Hankel $h_{\nu}^{(1)}$

Spherical Hankel $h_{\nu}^{(2)}$

See Also

Bessel J