Image:BesselI plot.svg

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BesselI_plot.svg‎ (37KB, MIME type: image/svg+xml)

This is a file from the Wikimedia Commons. The description on its description page there is shown below.

[edit] Summary

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

set terminal svg
set output "BesselI_plot.svg"
set title "Modified Bessel function of first kind"
set xlabel "x"
set ylabel "I_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
set key off
plot "besseli.dat" using 1:2 title "I_0(x)" with lines linewidth 2, \
     "besseli.dat" using 1:3 title "I_1(x)" with lines linewidth 2, \
     "besseli.dat" using 1:4 title "I_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;
I = [t; besseli(0,t); besseli(1,t); besseli(2,t)];
I = I';
save -ascii "besseli.dat" I;

It was then post-processed with Inkscape. I made this picture by myself.

[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".