File:BesselY plot.svg

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Original file(SVG file, nominally 600 × 480 pixels, file size: 75 KB)

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Summary

Description

Plot of the Bessel functions of 2nd kind in red, in green and 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.

Date
Source own work
Lissajous small.svg
This W3C-unspecified plot was created with Gnuplot.
Author Alessio Damato

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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.
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons

attribution share alike

This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

You may select the license of your choice.

File history

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Date/TimeThumbnailDimensionsUserComment
current16:27, 26 April 2006Thumbnail for version as of 16:27, 26 April 2006600 × 480 (75 KB)Alejo2083better stroke style
16:07, 26 April 2006Thumbnail for version as of 16:07, 26 April 2006600 × 480 (75 KB)Alejo2083now looks nicer
12:15, 12 October 2005Thumbnail for version as of 12:15, 12 October 2005600 × 480 (34 KB)Alejo2083== Summary == Plot of the Bessel functions of 2nd kind <math>Y_0(x)</math> in red, <math>Y_1(x)</math> in green and <math>Y_2(x)</math> in blue. The plot was produced running Gnuplot on the following code: <pre> s

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