# Modified Bessel function of the 2nd kind (chart) Calculator

## Calculates a table of the modified Bessel function of the second kind Kv(x) and draws the chart.

 order v real number [ initial value x increment repetition ]
 $\normal Modified\ Bessel\ function\\\hspace{125} of\ the\ 2nd\ kind\ K_\nu(x)\\[10](1)\ x^2y''+xy'-(x^2+\nu^2)y=0\\\hspace{25} y=K_\nu(x)\\[10](2)\ K_\nu(x)={\large\frac{\pi(I_{-\nu}(x)-I_\nu(x))}{2sin(\nu\pi)}}\\$
Modified Bessel function of the 2nd kind (chart)
 [1-6] /6 Disp-Num5103050100200
[1]  2015/03/23 12:56   Male / 60 years old level or over / A retired people / Very /
Purpose of use
Field Theory research
Comment/Request
Just what I needed when I needed it.
[2]  2014/03/20 23:56   Male / 30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Solving Ko(x) as part of the leaky well function to determine groundwater contaminant concentrations. For grad school homework problems. Because i don't like to use MATLAB.
Comment/Request
It is awesome that this is available online. BIG help with groundwater contaminant transport problems, especially since I am not in the mood to learn how to use MATLAB right now.
[3]  2013/01/28 05:59   Male / 60 years old level or over / An office worker / A public employee / Very /
Purpose of use
Check results in published paper
Comment/Request
Easy to use. Results clearly and usefully presented. Thanks!
[4]  2012/08/10 22:35   Male / 50 years old level / Others / Very /
Purpose of use
learning diif eq again after 30 yrs
Comment/Request
i'm looking for the derivation of Kv(x). you've got a great little site thanks
[5]  2011/07/21 18:19   Male / 30 years old level / A teacher / A researcher / Very /
Purpose of use
Finding numerical values of Bessel functions
Comment/Request
Very good.
This was just on the level I wanted it.
Thank you!
[6]  2010/04/07 21:37   Male / - / A researcher / Very /
Comment/Request
great

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