File:Laguerre poly.svg

Summary

I made it with the following <a href="https://en.wikipedia.org/wiki/Gnuplot" class="extiw" title="en:Gnuplot">Gnuplot</a> code:

# set the output
set terminal svg
set output "laguerre_poly.svg"

set title "Laguerre Polynomials"

# axis properties
set xrange [-5:20]
set yrange [-10:20]
set xzeroaxis linetype -1 linewidth 0.5
set yzeroaxis linetype -1 linewidth 0.5
set xlabel "x"
set ylabel "L_n (x)"
plot 1 ti "n = 0" with lines linewidth 2,\
     -x+1 ti "n = 1" with lines linewidth 2,\
     (x**2-4*x+2)/2 ti "n = 2" with lines linewidth 2,\
     (-x**3+9*x**2-18*x+6)/6 ti "n = 3" with lines linewidth 2,\
     (x**4-16*x**3+72*x**2-96*x+24)/24 ti "n = 4" with lines linewidth 2,\
     (-x**5+25*x**4-200*x**3+600*x**2-600*x+120)/120 ti "n = 5" with lines linewidth 2

Then I postprocessed with <a href="https://en.wikipedia.org/wiki/Inkscape" class="extiw" title="en:Inkscape">Inkscape</a> to change the stroke style of each line.

Licensing

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