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Statements
∂
Y
ν
(
z
)
∂
ν
=
cot
(
ν
π
)
(
∂
J
ν
(
z
)
∂
ν
-
π
Y
ν
(
z
)
)
-
csc
(
ν
π
)
∂
J
-
ν
(
z
)
∂
ν
-
π
J
ν
(
z
)
.
partial-derivative
Bessel-Y-Weber
𝜈
𝑧
𝜈
𝜈
𝜋
partial-derivative
Bessel-J
𝜈
𝑧
𝜈
𝜋
Bessel-Y-Weber
𝜈
𝑧
𝜈
𝜋
partial-derivative
Bessel-J
𝜈
𝑧
𝜈
𝜋
Bessel-J
𝜈
𝑧
{\displaystyle{\displaystyle\frac{\partial Y_{\nu}\left(z\right)}{\partial\nu}%
=\cot\left(\nu\pi\right)\left(\frac{\partial J_{\nu}\left(z\right)}{\partial%
\nu}-\pi Y_{\nu}\left(z\right)\right)-\csc\left(\nu\pi\right)\frac{\partial J_%
{-\nu}\left(z\right)}{\partial\nu}-\pi J_{\nu}\left(z\right).}}
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}}
csc
z
𝑧
{\displaystyle{\displaystyle\csc\NVar{z}}}
cot
z
𝑧
{\displaystyle{\displaystyle\cot\NVar{z}}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
