# Spherical Hankel function (chart) Calculator

## Calculates a table of the real and imaginary parts of the spherical Hankel functions of the first kind hv(1)(x) and the second kind hv(2)(x), and draws the chart.

 function hv(1)(x) hv(2)(x) h' v(1)(x) h' v(2)(x)
order v
[ initial value x
increment
 repetition ]
 $\normal Spherical\ Hankel\ functions\ of\\\ the\ 1st\ kind\ h^{(1)}_\nu(x)\ and\ 2nd\ kind\ h^{(2)}_\nu(x)\\[10](1)\ x^2w''+2xw'+(x^2-\nu(\nu+1))w=0\\\hspace{25} w=c_1h^{(1)}_\nu(x)+c_2h^{(2)}_\nu(x)\\[10](2)\ h^{(1)}_\nu(x)={\large\sqrt{\frac{\pi}{2x}}}H^{(1)}_{\nu+\frac{1}{2}}(x)=j_\nu(x)+iy_\nu(x)\\\hspace{25}h^{(2)}_\nu(x)=j_\nu(x)-iy_\nu(x)\\$

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