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Statements
Y
ν
(
z
)
∼
-
i
H
ν
(
1
)
(
z
)
∼
i
H
ν
(
2
)
(
z
)
∼
-
2
π
ν
(
e
z
2
ν
)
-
ν
.
asymptotically-equals
Bessel-Y-Weber
𝜈
𝑧
𝑖
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
asymptotically-equals
𝑖
Hankel-H-2-Bessel-third-kind
𝜈
𝑧
asymptotically-equals
2
𝜋
𝜈
superscript
𝑒
𝑧
2
𝜈
𝜈
{\displaystyle{\displaystyle Y_{\nu}\left(z\right)\sim-i{H^{(1)}_{\nu}}\left(z%
\right)\sim i{H^{(2)}_{\nu}}\left(z\right)\sim-\sqrt{\frac{2}{\pi\nu}}\left(%
\frac{ez}{2\nu}\right)^{-\nu}.}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
H
ν
(
1
)
(
z
)
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
H
ν
(
2
)
(
z
)
Hankel-H-2-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
∼
asymptotically-equals
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
