Difference between revisions of "Bessel Y"
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| + | File:Bessely,n=0plot.png|Graph of $Y_0$. | ||
File:Bessel y plot.png|Graph of $Y_0,Y_1,\ldots,Y_5$ on $[0,20]$. | File:Bessel y plot.png|Graph of $Y_0,Y_1,\ldots,Y_5$ on $[0,20]$. | ||
File:Complexbessely,n=0.png|[[Domain coloring]] of $Y_0$. | File:Complexbessely,n=0.png|[[Domain coloring]] of $Y_0$. | ||
Revision as of 20:45, 9 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 $Y_0,Y_1,\ldots,Y_5$ on $[0,20]$.
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
