# Bessel function (zeros) Calculator

## Calculates the positive zeros of the Bessel functions Jv(x) and Yv(x).

 order v v≦200 ordinal number s of zeros(s=1,2,..) 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
Bessel function (zeros)
 [1-10] /19 Disp-Num5103050100200
[1]  2021/11/10 07:37   60 years old level or over / An engineer / A little /
Purpose of use
solving an exam question - prompted interest
[2]  2021/10/20 13:14   Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
long story, involving tuning drums in marching band. essentially i'm trying to understand the normal modes of a vibrating circular membrane
[3]  2021/03/23 15:53   60 years old level or over / A homemaker / Very /
Purpose of use
value confirmation for software
Comment/Request
Wrote a small app. to calculate Besse3l zeroes and needed a reference to confirm my calculations.
[4]  2020/06/04 12:48   60 years old level or over / An engineer / Very /
Purpose of use
Calculating the image of a slit produced by a diffraction-limited optical system.
[5]  2020/02/02 22:22   50 years old level / A teacher / A researcher / Very /
Purpose of use
Calculate mass diffusion in hollow cylinders in physical metallurgy problem.
[6]  2019/06/27 13:49   50 years old level / An engineer / Very /
Purpose of use
zeros approximation of J0(x) :
x(k) = k * pi - pi/4 +1 / ( c * k ) with c = - 1 / ( k / (2 * PI )+ 1 / 24 ) + log (PI-2) + 25
k = 1,2,3...+oo
[7]  2019/06/07 17:47   60 years old level or over / - / Useful /
Purpose of use
Calculate the diameter of an optical Bessel beam formed by an axicon
[8]  2019/02/09 19:57   20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
To find an approximation for the 14th order roots to aid in coding assignment for MATLAB
[9]  2018/11/04 13:11   Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Check actual value against a value obtained by iterations on a programme.
[10]  2018/03/08 11:57   50 years old level / An engineer / Useful /
Purpose of use
dce

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