Spherical Hankel h (1)

The spherical Hankel function $h_{\nu}^{(1)}$ is defined by $$h_{\nu}^{(1)}(z)=j_{\nu}(z)+iy_{\nu}(z),$$ where $j_{\nu}$ is the spherical Bessel function of the first kind and $y_{\nu}$ is the spherical Bessel function of the second kind.

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  Domain coloring of analytic continuation of $h_1^{(1)}(z)$.

<center>Hankel functions

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

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

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

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

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