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Statements
Y
n
(
z
)
=
1
π
∂
J
ν
(
z
)
∂
ν
|
ν
=
n
+
(
-
1
)
n
π
∂
J
ν
(
z
)
∂
ν
|
ν
=
-
n
,
Bessel-Y-Weber
𝑛
𝑧
evaluated-at
1
𝜋
partial-derivative
Bessel-J
𝜈
𝑧
𝜈
𝜈
𝑛
evaluated-at
superscript
1
𝑛
𝜋
partial-derivative
Bessel-J
𝜈
𝑧
𝜈
𝜈
𝑛
{\displaystyle{\displaystyle Y_{n}\left(z\right)=\frac{1}{\pi}\left.\frac{%
\partial J_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=n}+\left.\frac{(-1)^{%
n}}{\pi}\frac{\partial J_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=-n},}}
n
=
0
,
±
1
,
±
2
,
…
𝑛
0
plus-or-minus
1
plus-or-minus
2
…
{\displaystyle{\displaystyle n=0,\pm 1,\pm 2,\ldots}}
J
ν
(
z
)
Bessel-J
𝜈
𝑧
{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
n
𝑛
{\displaystyle{\displaystyle n}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
