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[edit] Summary

Description

Plot of the modified Bessel functions of 2nd kind $K 0 (x)$ in red, $K 1 (x)$ in green and $K 2 (x)$ in blue. The plot was produced running Gnuplot on the following code:

set terminal svg
set output "BesselK_plot.svg"
set title "Modified Bessel function of second kind"
set xlabel "x"
set ylabel "K_n(x)"
set xrange [0:4]
set yrange [0:4]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
plot "besselk.dat" using 1:2 title "K_0(x)" with lines linewidth 2, \
     "besselk.dat" using 1:3 title "K_1(x)" with lines linewidth 2, \
     "besselk.dat" using 1:4 title "K_2(x)" with lines linewidth 2

the file "besselY.dat" contains the values of the Bessel functions and can be produced with the following Matlab commands:

t=0:0.001:4;
K = [t; besselk(0,t); besselk(1,t); besselk(2,t)];
K = K';
save -ascii "besselk.dat" K;

It was then post-processed with Sodipodi.

Source

own work

This vector image was created with Gnuplot.

Date

December 2006

Author

Alessio Damato

Permission

see below

[edit] Licensing

I, the author of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License".