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keisanHigh-precision calculations for everyday life and work

Spherical Hankel Functions (Graphs)

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Calculate and graph the tables for the first-kind spherical Hankel functions hv(1)(x) and the second-kind spherical Hankel functions hv (2)(x), and display them as graphs.
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\(\normalsize Spherical\ Hankel\ functions\ of\\ \ the\ 1st\ kind\ h^{(1)}_\nu(x)\ and\ 2nd\ kind\ h^{(2)}_\nu(x)\\ (1)\ x^2w''+2xw'+(x^2-\nu(\nu+1))w=0\\ \hspace{25px} w=c_1h^{(1)}_\nu(x)+c_2h^{(2)}_\nu(x)\\ (2)\ h^{(1)}_\nu(x)={\large\sqrt{\frac{\pi}{2x}}}H^{(1)}_{\nu+\frac{1}{2}}(x)=j_\nu(x)+iy_\nu(x)\\ \hspace{25px}h^{(2)}_\nu(x)=j_\nu(x)-iy_\nu(x)\\\)

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