Image:BesselY plot.svg

Plot of the Bessel functions of 2nd kind Y₀(x) in red, Y₁(x) in green and Y₂(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.

April 2006

Alessio Damato

see below