Image:BesselY plot.svg

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BesselY_plot.svg‎ (76KB, 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 Bessel functions of 2nd kind $Y 0 (x)$ in red, $Y 1 (x)$ in green and $Y 2 (x)$ in blue. The plot was produced running Gnuplot on the following code:

set terminal svg
set output "BesselY_plot.svg"
set title "Bessel functions of 2nd kind"
set xlabel "x"
set ylabel "Y_n(x)"
set xrange [0:20]
set yrange [-2:1]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
plot "besselY.dat" using 1:2 title "Y_0(x)" with lines linewidth 2, \
     "besselY.dat" using 1:3 title "Y_1(x)" with lines linewidth 2, \
     "besselY.dat" using 1:4 title "Y_2(x)" with lines linewidth 2

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

t = 0:0.01:20;
Y = [ t; bessely(0,t); bessely(1,t); bessely(2,t) ];
Y = Y';
save -ascii "besselY.dat" Y;

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".