# Bessel function of the 1st kind (chart) Calculator

## Calculates a table of the Bessel function of the first kind Jv(x) and draws the chart.

 order ν real number [ initial value x increment repetition ]
 $\normal Bessel\ function\ of\ the\ 1st\ kind\ J_\nu(x)\\[10](1)\ x^2y''+xy'+(x^2-\nu^2)y=0\\\hspace{25} y=J_\nu(x)\\[10](2)\ J_\nu(x)={\large\sum_{\small k=0}^{\small\infty}\frac{(-1)^k}{k!\Gamma(k+\nu+1)}(\frac{x}{2})^{\nu+2k}}\\(3)\ {\large e^{\frac{x}{2}(t-{\large\frac{1}{t}})}}={\large\sum_{\small n=-\infty}^{\small\infty}}J_n(x)t^n,\hspace{20pt} n=integer\\$

Bessel function of the 1st kind (chart)
 [1-10] /16 Disp-Num5103050100200
[1]  2019/02/06 18:59   Female / 20 years old level / An engineer / Very /
Purpose of use
Kaiser window for signal processing using I0 Bessel Function
[2]  2019/01/06 06:25   Female / 40 years old level / A teacher / A researcher / Very /
Purpose of use
answer to some questions related to an ordinary differential equation
[3]  2017/09/10 10:01   Male / 60 years old level or over / An engineer / Useful /
Purpose of use
to verify use of simplyfortran Bessel functions in a computer code.
[4]  2015/05/28 17:53   Male / 20 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
For its use in communication theory
[5]  2015/04/22 06:53   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Fitting optical diffraction of a circular hole
[6]  2015/03/05 21:57   Male / 60 years old level or over / Self-employed people / Very /
Purpose of use
To check accuracy of a geophysical wave equation application
[7]  2014/10/27 02:33   Male / 40 years old level / An engineer / Very /
Purpose of use
Table for radial stub distributed element computations
[8]  2014/10/14 09:10   Male / 60 years old level or over / An engineer / Very /
Purpose of use
electronics demo
[9]  2014/08/29 13:12   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Studies
[10]  2013/11/23 02:49   Male / 60 years old level or over / A teacher / A researcher / Very /
Purpose of use
Interpretation of experiment results

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