Keywords: Kelvin Bessel function.png Plot of zeroth order Kelvin-Bessel functions ber x and bei x Made with the following Gnuplot 3 7 script Define zeroth order Kelvin-Bessel functions ber x 1 -1 x/2 4 / 1 2 2 +1 x/2 8 / 1 2 3 4 2 -1 x/2 12 / 1 2 3 4 5 6 2 +1 x/2 16 / 1 2 3 4 5 6 7 8 2 -1 x/2 20 / 1 2 3 4 5 6 7 8 9 10 2 +1 x/2 24 / 1 2 3 4 5 6 7 8 9 10 11 12 2 -1 x/2 28 / 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 +1 x/2 32 / 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 2 -1 x/2 36 / 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 2 bei x +1 x/2 0 2/ 1 2-1 x/2 0 6/ 1 2 3 2 +1 x/2 0 10/ 1 2 3 4 5 2 -1 x/2 0 14/ 1 2 3 4 5 6 7 2 +1 x/2 0 18/ 1 2 3 4 5 6 7 8 9 2 -1 x/2 0 22/ 1 2 3 4 5 6 7 8 9 10 11 2 +1 x/2 0 26/ 1 2 3 4 5 6 7 8 9 10 11 12 13 2 -1 x/2 0 30/ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 +1 x/2 0 34/ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 Open bitmap terminal and plot functions set term pbm medium color set output kb01 pnm set samples 1000 set grid set key top left set mxtics set mytics plot -8 8 -30 30 ber x with lines lt 1 lw 2 bei x with lines lt 7 lw 2 Kelvin functions |