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Statements
∂
Y
ν
(
x
)
∂
ν
|
ν
=
-
1
2
=
-
2
π
x
(
Ci
(
2
x
)
sin
x
-
(
Si
(
2
x
)
-
π
)
cos
x
)
.
evaluated-at
partial-derivative
Bessel-Y-Weber
𝜈
𝑥
𝜈
𝜈
1
2
2
𝜋
𝑥
cosine-integral
2
𝑥
𝑥
sine-integral
2
𝑥
𝜋
𝑥
{\displaystyle{\displaystyle\left.\frac{\partial Y_{\nu}\left(x\right)}{%
\partial\nu}\right|_{\nu=-\frac{1}{2}}=-\sqrt{\frac{2}{\pi x}}\left(\mathrm{Ci%
}\left(2x\right)\sin x-\left(\mathrm{Si}\left(2x\right)-\pi\right)\cos x\right%
).}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
Ci
(
z
)
cosine-integral
𝑧
{\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
∂
f
∂
x
partial-derivative
𝑓
𝑥
{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}
∂
x
𝑥
{\displaystyle{\displaystyle\partial\NVar{x}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
Si
(
z
)
sine-integral
𝑧
{\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{z}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
