Difference between revisions of "Bessel Y"
From specialfunctionswiki
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<gallery> | <gallery> | ||
File:Bessely,n=0plot.png|Graph of $Y_0$. | File:Bessely,n=0plot.png|Graph of $Y_0$. | ||
| − | File:Multiplebesselyplot.png|Graph of $Y_0,Y_1, | + | File:Multiplebesselyplot.png|Graph of $Y_0,Y_1,Y_2$, and $Y_3$. |
File:Complexbessely,n=0.png|[[Domain coloring]] of $Y_0$. | File:Complexbessely,n=0.png|[[Domain coloring]] of $Y_0$. | ||
File:Complexbessely,n=1.png|[[Domain coloring]] of $Y_1$. | File:Complexbessely,n=1.png|[[Domain coloring]] of $Y_1$. | ||
Revision as of 19:30, 10 June 2016
Bessel functions of the second kind $Y_{\nu}$ are defined via the formula $$Y_{\nu}(z)=\dfrac{J_{\nu}(z)\cos(\nu \pi)-J_{-\nu}(z)}{\sin(\nu \pi)}.$$ Sometimes these functions are called Neumann functions and have the notation $N_{\nu}$ instead of $Y_{\nu}$.
Graph of $Y_0$.
Graph of $Y_0,Y_1,Y_2$, and $Y_3$.
Domain coloring of $Y_0$.
Domain coloring of $Y_1$.
Bessel functions from Abramowitz&Stegun
.jpg)
Properties
References
Bessel's functions of the second order - C.V. Coates
