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keisanHigh-precision calculations for everyday life and work

Spherical Bessel Functions (Zeros)

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Calculates the s-th positive zeros of the spherical Bessel functions of the first kind jv(x) and the second kind yv(x).
Order v
v≦200
Zero index s
th,s=1,2,3,...
\(\normalsize Spherical\ Bessel\ function\ of\\ \hspace{10px} the\ 1st\ kind\ j_\nu(x)\ and\ 2nd\ kind\ y_\nu(x)\\ (1)\ x^2w''+2xw'+(x^2-\nu(\nu+1))w=0\\ \hspace{25px} w=c_1j_\nu(x)+c_2y_\nu(x)\\ (2)\ j_\nu(x)={\large\sqrt{\frac{\pi}{2x}}}J_{\nu+\frac{1}{2}}(x)\\ \hspace{25px}y_\nu(x)={\large\sqrt{\frac{\pi}{2x}}}Y_{\nu+\frac{1}{2}}(x)\\\)

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