# Spherical Bessel function (zeros) Calculator

## Calculates the positive zeros of the spherical Bessel functions jv(x) and yv(x).

 order v v≦200 ordinal number s of zeros(s=1,2,..) 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Spherical\ Bessel\ function\ of\\\hspace{10} the\ 1st\ kind\ j_\nu(x)\ and\ 2nd\ kind\ y_\nu(x)\\[10](1)\ x^2w''+2xw'+(x^2-\nu(\nu+1))w=0\\\hspace{25} w=c_1j_\nu(x)+c_2y_\nu(x)\\[10](2)\ j_\nu(x)={\large\sqrt{\frac{\pi}{2x}}}J_{\nu+\frac{1}{2}}(x)\\\hspace{25}y_\nu(x)={\large\sqrt{\frac{\pi}{2x}}}Y_{\nu+\frac{1}{2}}(x)\\$
Spherical Bessel function (zeros)
 [1-6] /6 Disp-Num5103050100200
[1]  2018/11/06 20:21   Female / 60 years old level or over / A retired person / Very /
Purpose of use
Wanted to look up the zeros for the Sunday crosswords
[2]  2017/11/30 09:48   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
To find stationary state energy of a particle trapped in spherical potential
[3]  2017/11/28 07:24   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
Zeros of j_v
Comment/Request
Would like to request multiple zeros at once.
[4]  2015/05/17 00:09   Male / 50 years old level / High-school/ University/ Grad student / Very /
Purpose of use

find zero of spherical bessel
[5]  2013/05/26 00:26   Male / 20 years old level / High-school/ University/ Grad student / A little /
Purpose of use
spherical conductive resonator frequencies
Comment/Request
should also include calculator for roots of derivatives of J
[6]  2013/04/30 04:04   Male / 30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
to find energy
so I want to find,.B-)nl
Comment/Request
Could you define some things

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