File:Sphericalbessely.png
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Summary
| DescriptionSphericalbessely.png |
English: Spherical Bessel functions of the second kind , for . |
| Date | |
| Source | Own work |
| Author | Aspir8 |
Julia 1.11.0 code
using GLMakie
using LaTeXStrings
using SpecialFunctions
## plot y_n(x) for n=0,1,2
x = range(0,21, 3000)[2:end]
fig = Figure(size = (800, 500),fontsize=34,linewidth=3,fonts= (; regular = "CMU Serif",bold="CMU Serif"),)
ax = Axis(fig[1, 1],
xlabel =L"x",
ylabel = L"y_{\alpha}(x)",
ylabelrotation = 0,
ylabelpadding = 5,
xticks=0:5:20,
yticks=-1.5:.25:.5,
)
[lines!(ax, x, sphericalbessely.(i,x),label=latexstring("y_$(i)(x)")) for i in 0:2]
xlims!(ax,0,21)
ylims!(ax,-1.5,.4)
axislegend(ax,position=:rb)
hidedecorations!(ax,label=false,ticks=false,ticklabels=false,grid=false)
fig
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
| This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Captions
Spherical Bessel functions of the second kind <math> y_\alpha(x)</math>, for <math>\alpha = 0,1,2</math>.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:28, 14 December 2024 | 1,600 × 1,000 (152 KB) | Aspir8 | Uploaded own work with UploadWizard |
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