#
# Dawson's integral of real and complex variables
#
if (!strstrt(GPVAL_COMPILE_OPTIONS,"+LIBCERF")) {
	print  "This copy of gnuplot was not linked against libcerf"
	exit;
}
save_encoding = GPVAL_ENCODING
set encoding utf8

set key invert top right at graph 1., .3
set xzeroaxis
set yzeroaxis
set ytics  0.2
set tics nomirror
set border 3
set rmargin 8
set tmargin 4
set xrange [ -0.20 : 2.20 ]
set yrange [ -0.10 : 0.70 ]

set title offset 0,-2
set title "Dawson's integral          {/*2 ∫@_{/*0.5 0}^{/*.5 x}} {/:Italic exp(t^2 - x^2)dt}\n"

plot cdawson(x) lw 2 title "cdawson(x)", \
     [0:2.2] cdawson(sqrt(x)) lw 2 title "cdawson(√x)", \
     x*cdawson(x) lw 2 title "x·cdawson(x)"


Click here for minimal script to generate this plot

set xrange [ -2.4 : 2.4 ]
set yrange [ -1.5 : 1.5 ]
set zrange [ -8 : 8 ]
set xtics 1 offset 0,-0.5
set ytics 1 offset 0,-0.5
set ztics 5
#set xlabel "x"
#set ylabel "iy"
set xtics add ("0\nx" 0)
set ytics add ("0\niy" 0)
set grid x y z vertical lw 1

set palette defined (0 "dark-blue", 0.5 "gold", 1 "dark-red")
set cbrange [-4:4]
unset colorbox
unset key
set sample 41
set isosample 41
set pm3d depth border lw 0.25 lighting spec2 0.4
set view 57, 37, 1.1, 0.8
set xyplane 0
set style textbox opaque noborder margin 2,8

set multiplot layout 1,2 title "\nDawson's integral of complex variable\n z = x + iy"

set label 1 at 0,1,10 "Real(cdawson(z))" right boxed
splot real(cdawson(x + I*y)) with pm3d title "Real(cdawson(z))"
set label 1 at 0,1,10 "Imag(cdawson(z))" right boxed
splot imag(cdawson(x + I*y)) with pm3d title "Imag(cdawson(z))"

unset multiplot

Click here for minimal script to generate this plot

set encoding save_encoding